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Finding the Fourth Proportional to 16,385.71, 24,538.77 and 9,344.48

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Solution

The fourth proportional to 16,385.71, 24,538.77 and 9,344.48 is: 13,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.71 : 24,538.77 = 9,344.48 : x
  2. Step 2: Convert to fraction form
    16,385.71/24,538.77 = 9,344.48/x
  3. Step 3: Cross multiply
    16,385.71x = 24,538.77 × 9,344.48
  4. Step 4: Simplify right side
    16,385.71x = 229,302,045.49
  5. Step 5: Solve for x
    x = 229,302,045.49/16,385.71
  6. Step 6: Final answer
    x = 13,994.03

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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.