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Finding the Fourth Proportional to 24,665.68, 34,039.56 and 14,055.04

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Solution

The fourth proportional to 24,665.68, 34,039.56 and 14,055.04 is: 19,396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,665.68 : 34,039.56 = 14,055.04 : x
  2. Step 2: Convert to fraction form
    24,665.68/34,039.56 = 14,055.04/x
  3. Step 3: Cross multiply
    24,665.68x = 34,039.56 × 14,055.04
  4. Step 4: Simplify right side
    24,665.68x = 478,427,377.38
  5. Step 5: Solve for x
    x = 478,427,377.38/24,665.68
  6. Step 6: Final answer
    x = 19,396.48

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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.