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Finding the Fourth Proportional to 24,505.60, 36,747.60 and 9,709.60

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Solution

The fourth proportional to 24,505.60, 36,747.60 and 9,709.60 is: 14,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.60 : 36,747.60 = 9,709.60 : x
  2. Step 2: Convert to fraction form
    24,505.60/36,747.60 = 9,709.60/x
  3. Step 3: Cross multiply
    24,505.60x = 36,747.60 × 9,709.60
  4. Step 4: Simplify right side
    24,505.60x = 356,804,496.96
  5. Step 5: Solve for x
    x = 356,804,496.96/24,505.60
  6. Step 6: Final answer
    x = 14,560.12

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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.