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Finding the Fourth Proportional to 24,760.65, 34,172.03 and 14,148.22

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Solution

The fourth proportional to 24,760.65, 34,172.03 and 14,148.22 is: 19,525.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.65 : 34,172.03 = 14,148.22 : x
  2. Step 2: Convert to fraction form
    24,760.65/34,172.03 = 14,148.22/x
  3. Step 3: Cross multiply
    24,760.65x = 34,172.03 × 14,148.22
  4. Step 4: Simplify right side
    24,760.65x = 483,473,398.29
  5. Step 5: Solve for x
    x = 483,473,398.29/24,760.65
  6. Step 6: Final answer
    x = 19,525.88

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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.