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Finding the Fourth Proportional to 15,013.52, 20,705.16 and 9,702.74

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Solution

The fourth proportional to 15,013.52, 20,705.16 and 9,702.74 is: 13,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,013.52 : 20,705.16 = 9,702.74 : x
  2. Step 2: Convert to fraction form
    15,013.52/20,705.16 = 9,702.74/x
  3. Step 3: Cross multiply
    15,013.52x = 20,705.16 × 9,702.74
  4. Step 4: Simplify right side
    15,013.52x = 200,896,784.14
  5. Step 5: Solve for x
    x = 200,896,784.14/15,013.52
  6. Step 6: Final answer
    x = 13,381.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.