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Finding the Fourth Proportional to 24,957, 34,441.20 and 13,779

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Solution

The fourth proportional to 24,957, 34,441.20 and 13,779 is: 19,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,957 : 34,441.20 = 13,779 : x
  2. Step 2: Convert to fraction form
    24,957/34,441.20 = 13,779/x
  3. Step 3: Cross multiply
    24,957x = 34,441.20 × 13,779
  4. Step 4: Simplify right side
    24,957x = 474,565,294.80
  5. Step 5: Solve for x
    x = 474,565,294.80/24,957
  6. Step 6: Final answer
    x = 19,015.32

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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.