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Finding the Fourth Proportional to 24,978.38, 34,470.36 and 14,374.67

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Solution

The fourth proportional to 24,978.38, 34,470.36 and 14,374.67 is: 19,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.38 : 34,470.36 = 14,374.67 : x
  2. Step 2: Convert to fraction form
    24,978.38/34,470.36 = 14,374.67/x
  3. Step 3: Cross multiply
    24,978.38x = 34,470.36 × 14,374.67
  4. Step 4: Simplify right side
    24,978.38x = 495,499,877.43
  5. Step 5: Solve for x
    x = 495,499,877.43/24,978.38
  6. Step 6: Final answer
    x = 19,837.15

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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.