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Finding the Fourth Proportional to 24,169.60, 36,225.60 and 10,129.60

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Solution

The fourth proportional to 24,169.60, 36,225.60 and 10,129.60 is: 15,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,169.60 : 36,225.60 = 10,129.60 : x
  2. Step 2: Convert to fraction form
    24,169.60/36,225.60 = 10,129.60/x
  3. Step 3: Cross multiply
    24,169.60x = 36,225.60 × 10,129.60
  4. Step 4: Simplify right side
    24,169.60x = 366,950,837.76
  5. Step 5: Solve for x
    x = 366,950,837.76/24,169.60
  6. Step 6: Final answer
    x = 15,182.33

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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.