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Finding the Fourth Proportional to 23,710.74, 32,720.60 and 13,100.38

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Solution

The fourth proportional to 23,710.74, 32,720.60 and 13,100.38 is: 18,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.74 : 32,720.60 = 13,100.38 : x
  2. Step 2: Convert to fraction form
    23,710.74/32,720.60 = 13,100.38/x
  3. Step 3: Cross multiply
    23,710.74x = 32,720.60 × 13,100.38
  4. Step 4: Simplify right side
    23,710.74x = 428,652,293.83
  5. Step 5: Solve for x
    x = 428,652,293.83/23,710.74
  6. Step 6: Final answer
    x = 18,078.40

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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.