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Finding the Fourth Proportional to 16,279.80, 24,419.70 and 9,281.40

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Solution

The fourth proportional to 16,279.80, 24,419.70 and 9,281.40 is: 13,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279.80 : 24,419.70 = 9,281.40 : x
  2. Step 2: Convert to fraction form
    16,279.80/24,419.70 = 9,281.40/x
  3. Step 3: Cross multiply
    16,279.80x = 24,419.70 × 9,281.40
  4. Step 4: Simplify right side
    16,279.80x = 226,649,003.58
  5. Step 5: Solve for x
    x = 226,649,003.58/16,279.80
  6. Step 6: Final answer
    x = 13,922.10

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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.