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Finding the Fourth Proportional to 16,577.63, 24,866.67 and 9,196.50

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Solution

The fourth proportional to 16,577.63, 24,866.67 and 9,196.50 is: 13,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.63 : 24,866.67 = 9,196.50 : x
  2. Step 2: Convert to fraction form
    16,577.63/24,866.67 = 9,196.50/x
  3. Step 3: Cross multiply
    16,577.63x = 24,866.67 × 9,196.50
  4. Step 4: Simplify right side
    16,577.63x = 228,686,296.17
  5. Step 5: Solve for x
    x = 228,686,296.17/16,577.63
  6. Step 6: Final answer
    x = 13,794.88

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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.