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Finding the Fourth Proportional to 24,417, 36,603.78 and 8,831.16

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Solution

The fourth proportional to 24,417, 36,603.78 and 8,831.16 is: 13,238.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,417 : 36,603.78 = 8,831.16 : x
  2. Step 2: Convert to fraction form
    24,417/36,603.78 = 8,831.16/x
  3. Step 3: Cross multiply
    24,417x = 36,603.78 × 8,831.16
  4. Step 4: Simplify right side
    24,417x = 323,253,837.78
  5. Step 5: Solve for x
    x = 323,253,837.78/24,417
  6. Step 6: Final answer
    x = 13,238.88

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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.