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Finding the Fourth Proportional to 16,641.96, 24,935.14 and 11,702.78

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Solution

The fourth proportional to 16,641.96, 24,935.14 and 11,702.78 is: 17,534.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.96 : 24,935.14 = 11,702.78 : x
  2. Step 2: Convert to fraction form
    16,641.96/24,935.14 = 11,702.78/x
  3. Step 3: Cross multiply
    16,641.96x = 24,935.14 × 11,702.78
  4. Step 4: Simplify right side
    16,641.96x = 291,810,441.15
  5. Step 5: Solve for x
    x = 291,810,441.15/16,641.96
  6. Step 6: Final answer
    x = 17,534.62

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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.