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Finding the Fourth Proportional to 24,792, 34,218.87 and 14,187.75

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Solution

The fourth proportional to 24,792, 34,218.87 and 14,187.75 is: 19,582.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792 : 34,218.87 = 14,187.75 : x
  2. Step 2: Convert to fraction form
    24,792/34,218.87 = 14,187.75/x
  3. Step 3: Cross multiply
    24,792x = 34,218.87 × 14,187.75
  4. Step 4: Simplify right side
    24,792x = 485,488,772.84
  5. Step 5: Solve for x
    x = 485,488,772.84/24,792
  6. Step 6: Final answer
    x = 19,582.48

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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.