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Finding the Fourth Proportional to 16,538.30, 24,807.45 and 9,977.30

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Solution

The fourth proportional to 16,538.30, 24,807.45 and 9,977.30 is: 14,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.30 : 24,807.45 = 9,977.30 : x
  2. Step 2: Convert to fraction form
    16,538.30/24,807.45 = 9,977.30/x
  3. Step 3: Cross multiply
    16,538.30x = 24,807.45 × 9,977.30
  4. Step 4: Simplify right side
    16,538.30x = 247,511,370.89
  5. Step 5: Solve for x
    x = 247,511,370.89/16,538.30
  6. Step 6: Final answer
    x = 14,965.95

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.