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Finding the Fourth Proportional to 20,732.60, 31,098.90 and 7,585.40

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Solution

The fourth proportional to 20,732.60, 31,098.90 and 7,585.40 is: 11,378.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732.60 : 31,098.90 = 7,585.40 : x
  2. Step 2: Convert to fraction form
    20,732.60/31,098.90 = 7,585.40/x
  3. Step 3: Cross multiply
    20,732.60x = 31,098.90 × 7,585.40
  4. Step 4: Simplify right side
    20,732.60x = 235,897,596.06
  5. Step 5: Solve for x
    x = 235,897,596.06/20,732.60
  6. Step 6: Final answer
    x = 11,378.10

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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.