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Finding the Fourth Proportional to 24,939.76, 37,398.64 and 9,346.48

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Solution

The fourth proportional to 24,939.76, 37,398.64 and 9,346.48 is: 14,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,939.76 : 37,398.64 = 9,346.48 : x
  2. Step 2: Convert to fraction form
    24,939.76/37,398.64 = 9,346.48/x
  3. Step 3: Cross multiply
    24,939.76x = 37,398.64 × 9,346.48
  4. Step 4: Simplify right side
    24,939.76x = 349,545,640.79
  5. Step 5: Solve for x
    x = 349,545,640.79/24,939.76
  6. Step 6: Final answer
    x = 14,015.60

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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.