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Finding the Fourth Proportional to 24,298.36, 36,447.54 and 13,902.88

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Solution

The fourth proportional to 24,298.36, 36,447.54 and 13,902.88 is: 20,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.36 : 36,447.54 = 13,902.88 : x
  2. Step 2: Convert to fraction form
    24,298.36/36,447.54 = 13,902.88/x
  3. Step 3: Cross multiply
    24,298.36x = 36,447.54 × 13,902.88
  4. Step 4: Simplify right side
    24,298.36x = 506,725,774.92
  5. Step 5: Solve for x
    x = 506,725,774.92/24,298.36
  6. Step 6: Final answer
    x = 20,854.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.