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Finding the Fourth Proportional to 14,819.57, 22,134.71 and 13,411.83

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Solution

The fourth proportional to 14,819.57, 22,134.71 and 13,411.83 is: 20,032.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.57 : 22,134.71 = 13,411.83 : x
  2. Step 2: Convert to fraction form
    14,819.57/22,134.71 = 13,411.83/x
  3. Step 3: Cross multiply
    14,819.57x = 22,134.71 × 13,411.83
  4. Step 4: Simplify right side
    14,819.57x = 296,866,967.62
  5. Step 5: Solve for x
    x = 296,866,967.62/14,819.57
  6. Step 6: Final answer
    x = 20,032.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.