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Finding the Fourth Proportional to 23,061.50, 31,824.88 and 13,125.50

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Solution

The fourth proportional to 23,061.50, 31,824.88 and 13,125.50 is: 18,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,061.50 : 31,824.88 = 13,125.50 : x
  2. Step 2: Convert to fraction form
    23,061.50/31,824.88 = 13,125.50/x
  3. Step 3: Cross multiply
    23,061.50x = 31,824.88 × 13,125.50
  4. Step 4: Simplify right side
    23,061.50x = 417,717,462.44
  5. Step 5: Solve for x
    x = 417,717,462.44/23,061.50
  6. Step 6: Final answer
    x = 18,113.20

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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.