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Finding the Fourth Proportional to 16,400, 24,711.74 and 14,609.76

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Solution

The fourth proportional to 16,400, 24,711.74 and 14,609.76 is: 22,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400 : 24,711.74 = 14,609.76 : x
  2. Step 2: Convert to fraction form
    16,400/24,711.74 = 14,609.76/x
  3. Step 3: Cross multiply
    16,400x = 24,711.74 × 14,609.76
  4. Step 4: Simplify right side
    16,400x = 361,032,590.58
  5. Step 5: Solve for x
    x = 361,032,590.58/16,400
  6. Step 6: Final answer
    x = 22,014.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.