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Finding the Fourth Proportional to 15,726.46, 23,561.88 and 8,314.48

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Solution

The fourth proportional to 15,726.46, 23,561.88 and 8,314.48 is: 12,457.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.46 : 23,561.88 = 8,314.48 : x
  2. Step 2: Convert to fraction form
    15,726.46/23,561.88 = 8,314.48/x
  3. Step 3: Cross multiply
    15,726.46x = 23,561.88 × 8,314.48
  4. Step 4: Simplify right side
    15,726.46x = 195,904,780.02
  5. Step 5: Solve for x
    x = 195,904,780.02/15,726.46
  6. Step 6: Final answer
    x = 12,457.02

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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.