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Finding the Fourth Proportional to 24,814.71, 34,236.54 and 14,202.29

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Solution

The fourth proportional to 24,814.71, 34,236.54 and 14,202.29 is: 19,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.71 : 34,236.54 = 14,202.29 : x
  2. Step 2: Convert to fraction form
    24,814.71/34,236.54 = 14,202.29/x
  3. Step 3: Cross multiply
    24,814.71x = 34,236.54 × 14,202.29
  4. Step 4: Simplify right side
    24,814.71x = 486,237,355.27
  5. Step 5: Solve for x
    x = 486,237,355.27/24,814.71
  6. Step 6: Final answer
    x = 19,594.72

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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.