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Finding the Fourth Proportional to 22,918.60, 34,381.46 and 9,771

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Solution

The fourth proportional to 22,918.60, 34,381.46 and 9,771 is: 14,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,918.60 : 34,381.46 = 9,771 : x
  2. Step 2: Convert to fraction form
    22,918.60/34,381.46 = 9,771/x
  3. Step 3: Cross multiply
    22,918.60x = 34,381.46 × 9,771
  4. Step 4: Simplify right side
    22,918.60x = 335,941,245.66
  5. Step 5: Solve for x
    x = 335,941,245.66/22,918.60
  6. Step 6: Final answer
    x = 14,658.02

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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.