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Finding the Fourth Proportional to 24,945.40, 37,421.70 and 8,306.20

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Solution

The fourth proportional to 24,945.40, 37,421.70 and 8,306.20 is: 12,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945.40 : 37,421.70 = 8,306.20 : x
  2. Step 2: Convert to fraction form
    24,945.40/37,421.70 = 8,306.20/x
  3. Step 3: Cross multiply
    24,945.40x = 37,421.70 × 8,306.20
  4. Step 4: Simplify right side
    24,945.40x = 310,832,124.54
  5. Step 5: Solve for x
    x = 310,832,124.54/24,945.40
  6. Step 6: Final answer
    x = 12,460.50

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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.