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Finding the Fourth Proportional to 24,746, 34,149.96 and 14,810

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Solution

The fourth proportional to 24,746, 34,149.96 and 14,810 is: 20,438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 34,149.96 = 14,810 : x
  2. Step 2: Convert to fraction form
    24,746/34,149.96 = 14,810/x
  3. Step 3: Cross multiply
    24,746x = 34,149.96 × 14,810
  4. Step 4: Simplify right side
    24,746x = 505,760,907.60
  5. Step 5: Solve for x
    x = 505,760,907.60/24,746
  6. Step 6: Final answer
    x = 20,438.09

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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.