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Finding the Fourth Proportional to 15,862.32, 23,793.66 and 7,543.14

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Solution

The fourth proportional to 15,862.32, 23,793.66 and 7,543.14 is: 11,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.32 : 23,793.66 = 7,543.14 : x
  2. Step 2: Convert to fraction form
    15,862.32/23,793.66 = 7,543.14/x
  3. Step 3: Cross multiply
    15,862.32x = 23,793.66 × 7,543.14
  4. Step 4: Simplify right side
    15,862.32x = 179,478,908.49
  5. Step 5: Solve for x
    x = 179,478,908.49/15,862.32
  6. Step 6: Final answer
    x = 11,314.80

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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.