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Finding the Fourth Proportional to 15,331.25, 23,005.74 and 6,445.88

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Solution

The fourth proportional to 15,331.25, 23,005.74 and 6,445.88 is: 9,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,331.25 : 23,005.74 = 6,445.88 : x
  2. Step 2: Convert to fraction form
    15,331.25/23,005.74 = 6,445.88/x
  3. Step 3: Cross multiply
    15,331.25x = 23,005.74 × 6,445.88
  4. Step 4: Simplify right side
    15,331.25x = 148,292,234.77
  5. Step 5: Solve for x
    x = 148,292,234.77/15,331.25
  6. Step 6: Final answer
    x = 9,672.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.