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Finding the Fourth Proportional to 24,978.05, 34,470.51 and 13,648.62

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Solution

The fourth proportional to 24,978.05, 34,470.51 and 13,648.62 is: 18,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.05 : 34,470.51 = 13,648.62 : x
  2. Step 2: Convert to fraction form
    24,978.05/34,470.51 = 13,648.62/x
  3. Step 3: Cross multiply
    24,978.05x = 34,470.51 × 13,648.62
  4. Step 4: Simplify right side
    24,978.05x = 470,474,892.20
  5. Step 5: Solve for x
    x = 470,474,892.20/24,978.05
  6. Step 6: Final answer
    x = 18,835.53

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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.