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Finding the Fourth Proportional to 15,149, 20,905.62 and 8,862.59

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Solution

The fourth proportional to 15,149, 20,905.62 and 8,862.59 is: 12,230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149 : 20,905.62 = 8,862.59 : x
  2. Step 2: Convert to fraction form
    15,149/20,905.62 = 8,862.59/x
  3. Step 3: Cross multiply
    15,149x = 20,905.62 × 8,862.59
  4. Step 4: Simplify right side
    15,149x = 185,277,938.76
  5. Step 5: Solve for x
    x = 185,277,938.76/15,149
  6. Step 6: Final answer
    x = 12,230.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.