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Finding the Fourth Proportional to 23,442, 35,171.64 and 12,348.24

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Solution

The fourth proportional to 23,442, 35,171.64 and 12,348.24 is: 18,526.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,442 : 35,171.64 = 12,348.24 : x
  2. Step 2: Convert to fraction form
    23,442/35,171.64 = 12,348.24/x
  3. Step 3: Cross multiply
    23,442x = 35,171.64 × 12,348.24
  4. Step 4: Simplify right side
    23,442x = 434,307,851.91
  5. Step 5: Solve for x
    x = 434,307,851.91/23,442
  6. Step 6: Final answer
    x = 18,526.91

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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.