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Finding the Fourth Proportional to 24,161.78, 33,341.55 and 13,407.20

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Solution

The fourth proportional to 24,161.78, 33,341.55 and 13,407.20 is: 18,500.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.78 : 33,341.55 = 13,407.20 : x
  2. Step 2: Convert to fraction form
    24,161.78/33,341.55 = 13,407.20/x
  3. Step 3: Cross multiply
    24,161.78x = 33,341.55 × 13,407.20
  4. Step 4: Simplify right side
    24,161.78x = 447,016,829.16
  5. Step 5: Solve for x
    x = 447,016,829.16/24,161.78
  6. Step 6: Final answer
    x = 18,500.99

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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.