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Finding the Fourth Proportional to 24,502.08, 33,812.80 and 13,324

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Solution

The fourth proportional to 24,502.08, 33,812.80 and 13,324 is: 18,387.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.08 : 33,812.80 = 13,324 : x
  2. Step 2: Convert to fraction form
    24,502.08/33,812.80 = 13,324/x
  3. Step 3: Cross multiply
    24,502.08x = 33,812.80 × 13,324
  4. Step 4: Simplify right side
    24,502.08x = 450,521,747.20
  5. Step 5: Solve for x
    x = 450,521,747.20/24,502.08
  6. Step 6: Final answer
    x = 18,387.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.