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Finding the Fourth Proportional to 24,063.60, 36,097.32 and 8,262.30

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Solution

The fourth proportional to 24,063.60, 36,097.32 and 8,262.30 is: 12,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,063.60 : 36,097.32 = 8,262.30 : x
  2. Step 2: Convert to fraction form
    24,063.60/36,097.32 = 8,262.30/x
  3. Step 3: Cross multiply
    24,063.60x = 36,097.32 × 8,262.30
  4. Step 4: Simplify right side
    24,063.60x = 298,246,887.04
  5. Step 5: Solve for x
    x = 298,246,887.04/24,063.60
  6. Step 6: Final answer
    x = 12,394.11

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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.