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Finding the Fourth Proportional to 24,470.05, 36,706.47 and 6,938.50

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Solution

The fourth proportional to 24,470.05, 36,706.47 and 6,938.50 is: 10,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.05 : 36,706.47 = 6,938.50 : x
  2. Step 2: Convert to fraction form
    24,470.05/36,706.47 = 6,938.50/x
  3. Step 3: Cross multiply
    24,470.05x = 36,706.47 × 6,938.50
  4. Step 4: Simplify right side
    24,470.05x = 254,687,842.10
  5. Step 5: Solve for x
    x = 254,687,842.10/24,470.05
  6. Step 6: Final answer
    x = 10,408.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.