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Finding the Fourth Proportional to 24,409.24, 36,610.62 and 9,614.32

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Solution

The fourth proportional to 24,409.24, 36,610.62 and 9,614.32 is: 14,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.24 : 36,610.62 = 9,614.32 : x
  2. Step 2: Convert to fraction form
    24,409.24/36,610.62 = 9,614.32/x
  3. Step 3: Cross multiply
    24,409.24x = 36,610.62 × 9,614.32
  4. Step 4: Simplify right side
    24,409.24x = 351,986,216.08
  5. Step 5: Solve for x
    x = 351,986,216.08/24,409.24
  6. Step 6: Final answer
    x = 14,420.20

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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.