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Finding the Fourth Proportional to 15,702.16, 23,553.96 and 6,937.12

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Solution

The fourth proportional to 15,702.16, 23,553.96 and 6,937.12 is: 10,406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.16 : 23,553.96 = 6,937.12 : x
  2. Step 2: Convert to fraction form
    15,702.16/23,553.96 = 6,937.12/x
  3. Step 3: Cross multiply
    15,702.16x = 23,553.96 × 6,937.12
  4. Step 4: Simplify right side
    15,702.16x = 163,396,647.00
  5. Step 5: Solve for x
    x = 163,396,647.00/15,702.16
  6. Step 6: Final answer
    x = 10,406.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.