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Finding the Fourth Proportional to 10,899.57, 14,943.13 and 10,702.74

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Solution

The fourth proportional to 10,899.57, 14,943.13 and 10,702.74 is: 14,673.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,899.57 : 14,943.13 = 10,702.74 : x
  2. Step 2: Convert to fraction form
    10,899.57/14,943.13 = 10,702.74/x
  3. Step 3: Cross multiply
    10,899.57x = 14,943.13 × 10,702.74
  4. Step 4: Simplify right side
    10,899.57x = 159,932,435.18
  5. Step 5: Solve for x
    x = 159,932,435.18/10,899.57
  6. Step 6: Final answer
    x = 14,673.28

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.