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Finding the Fourth Proportional to 15,634.40, 23,446.13 and 9,702.15

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Solution

The fourth proportional to 15,634.40, 23,446.13 and 9,702.15 is: 14,549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,634.40 : 23,446.13 = 9,702.15 : x
  2. Step 2: Convert to fraction form
    15,634.40/23,446.13 = 9,702.15/x
  3. Step 3: Cross multiply
    15,634.40x = 23,446.13 × 9,702.15
  4. Step 4: Simplify right side
    15,634.40x = 227,477,821.67
  5. Step 5: Solve for x
    x = 227,477,821.67/15,634.40
  6. Step 6: Final answer
    x = 14,549.83

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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.