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Finding the Fourth Proportional to 15,348.60, 23,008.86 and 7,449.48

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Solution

The fourth proportional to 15,348.60, 23,008.86 and 7,449.48 is: 11,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,348.60 : 23,008.86 = 7,449.48 : x
  2. Step 2: Convert to fraction form
    15,348.60/23,008.86 = 7,449.48/x
  3. Step 3: Cross multiply
    15,348.60x = 23,008.86 × 7,449.48
  4. Step 4: Simplify right side
    15,348.60x = 171,404,042.39
  5. Step 5: Solve for x
    x = 171,404,042.39/15,348.60
  6. Step 6: Final answer
    x = 11,167.41

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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.