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Finding the Fourth Proportional to 15,781.62, 23,649.88 and 11,588.74

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Solution

The fourth proportional to 15,781.62, 23,649.88 and 11,588.74 is: 17,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.62 : 23,649.88 = 11,588.74 : x
  2. Step 2: Convert to fraction form
    15,781.62/23,649.88 = 11,588.74/x
  3. Step 3: Cross multiply
    15,781.62x = 23,649.88 × 11,588.74
  4. Step 4: Simplify right side
    15,781.62x = 274,072,134.16
  5. Step 5: Solve for x
    x = 274,072,134.16/15,781.62
  6. Step 6: Final answer
    x = 17,366.54

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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.