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Finding the Fourth Proportional to 24,657, 34,035.30 and 14,721

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Solution

The fourth proportional to 24,657, 34,035.30 and 14,721 is: 20,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657 : 34,035.30 = 14,721 : x
  2. Step 2: Convert to fraction form
    24,657/34,035.30 = 14,721/x
  3. Step 3: Cross multiply
    24,657x = 34,035.30 × 14,721
  4. Step 4: Simplify right side
    24,657x = 501,033,651.30
  5. Step 5: Solve for x
    x = 501,033,651.30/24,657
  6. Step 6: Final answer
    x = 20,320.14

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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.