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Finding the Fourth Proportional to 21,097.60, 31,618.72 and 15,524.85

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Solution

The fourth proportional to 21,097.60, 31,618.72 and 15,524.85 is: 23,266.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.60 : 31,618.72 = 15,524.85 : x
  2. Step 2: Convert to fraction form
    21,097.60/31,618.72 = 15,524.85/x
  3. Step 3: Cross multiply
    21,097.60x = 31,618.72 × 15,524.85
  4. Step 4: Simplify right side
    21,097.60x = 490,875,807.57
  5. Step 5: Solve for x
    x = 490,875,807.57/21,097.60
  6. Step 6: Final answer
    x = 23,266.90

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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.