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Finding the Fourth Proportional to 24,892.94, 34,351.38 and 13,562.24

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Solution

The fourth proportional to 24,892.94, 34,351.38 and 13,562.24 is: 18,715.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,892.94 : 34,351.38 = 13,562.24 : x
  2. Step 2: Convert to fraction form
    24,892.94/34,351.38 = 13,562.24/x
  3. Step 3: Cross multiply
    24,892.94x = 34,351.38 × 13,562.24
  4. Step 4: Simplify right side
    24,892.94x = 465,881,659.89
  5. Step 5: Solve for x
    x = 465,881,659.89/24,892.94
  6. Step 6: Final answer
    x = 18,715.41

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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.