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Finding the Fourth Proportional to 24,115.86, 33,275.07 and 17,411.49

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Solution

The fourth proportional to 24,115.86, 33,275.07 and 17,411.49 is: 24,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.86 : 33,275.07 = 17,411.49 : x
  2. Step 2: Convert to fraction form
    24,115.86/33,275.07 = 17,411.49/x
  3. Step 3: Cross multiply
    24,115.86x = 33,275.07 × 17,411.49
  4. Step 4: Simplify right side
    24,115.86x = 579,368,548.55
  5. Step 5: Solve for x
    x = 579,368,548.55/24,115.86
  6. Step 6: Final answer
    x = 24,024.38

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Why These Related Problems?

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