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Finding the Fourth Proportional to 23,592.57, 32,564.13 and 13,910.47

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Solution

The fourth proportional to 23,592.57, 32,564.13 and 13,910.47 is: 19,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,592.57 : 32,564.13 = 13,910.47 : x
  2. Step 2: Convert to fraction form
    23,592.57/32,564.13 = 13,910.47/x
  3. Step 3: Cross multiply
    23,592.57x = 32,564.13 × 13,910.47
  4. Step 4: Simplify right side
    23,592.57x = 452,982,219.87
  5. Step 5: Solve for x
    x = 452,982,219.87/23,592.57
  6. Step 6: Final answer
    x = 19,200.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.