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Finding the Fourth Proportional to 24,978.28, 34,470 and 13,800.28

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Solution

The fourth proportional to 24,978.28, 34,470 and 13,800.28 is: 19,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.28 : 34,470 = 13,800.28 : x
  2. Step 2: Convert to fraction form
    24,978.28/34,470 = 13,800.28/x
  3. Step 3: Cross multiply
    24,978.28x = 34,470 × 13,800.28
  4. Step 4: Simplify right side
    24,978.28x = 475,695,651.60
  5. Step 5: Solve for x
    x = 475,695,651.60/24,978.28
  6. Step 6: Final answer
    x = 19,044.37

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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.