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Finding the Fourth Proportional to 23,762.88, 32,792.38 and 13,152.29

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Solution

The fourth proportional to 23,762.88, 32,792.38 and 13,152.29 is: 18,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762.88 : 32,792.38 = 13,152.29 : x
  2. Step 2: Convert to fraction form
    23,762.88/32,792.38 = 13,152.29/x
  3. Step 3: Cross multiply
    23,762.88x = 32,792.38 × 13,152.29
  4. Step 4: Simplify right side
    23,762.88x = 431,294,694.71
  5. Step 5: Solve for x
    x = 431,294,694.71/23,762.88
  6. Step 6: Final answer
    x = 18,149.93

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Why These Related Problems?

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