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Finding the Fourth Proportional to 23,681.81, 35,513.41 and 8,882.66

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Solution

The fourth proportional to 23,681.81, 35,513.41 and 8,882.66 is: 13,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.81 : 35,513.41 = 8,882.66 : x
  2. Step 2: Convert to fraction form
    23,681.81/35,513.41 = 8,882.66/x
  3. Step 3: Cross multiply
    23,681.81x = 35,513.41 × 8,882.66
  4. Step 4: Simplify right side
    23,681.81x = 315,453,546.47
  5. Step 5: Solve for x
    x = 315,453,546.47/23,681.81
  6. Step 6: Final answer
    x = 13,320.50

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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.