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Finding the Fourth Proportional to 15,342.34, 23,042.69 and 9,539.50

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Solution

The fourth proportional to 15,342.34, 23,042.69 and 9,539.50 is: 14,327.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,342.34 : 23,042.69 = 9,539.50 : x
  2. Step 2: Convert to fraction form
    15,342.34/23,042.69 = 9,539.50/x
  3. Step 3: Cross multiply
    15,342.34x = 23,042.69 × 9,539.50
  4. Step 4: Simplify right side
    15,342.34x = 219,815,693.56
  5. Step 5: Solve for x
    x = 219,815,693.56/15,342.34
  6. Step 6: Final answer
    x = 14,327.39

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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.