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Finding the Fourth Proportional to 24,549.81, 36,823.66 and 7,909.47

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Solution

The fourth proportional to 24,549.81, 36,823.66 and 7,909.47 is: 11,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.81 : 36,823.66 = 7,909.47 : x
  2. Step 2: Convert to fraction form
    24,549.81/36,823.66 = 7,909.47/x
  3. Step 3: Cross multiply
    24,549.81x = 36,823.66 × 7,909.47
  4. Step 4: Simplify right side
    24,549.81x = 291,255,634.06
  5. Step 5: Solve for x
    x = 291,255,634.06/24,549.81
  6. Step 6: Final answer
    x = 11,863.87

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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.