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Finding the Fourth Proportional to 15,865.32, 23,780.16 and 7,538.52

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Solution

The fourth proportional to 15,865.32, 23,780.16 and 7,538.52 is: 11,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.32 : 23,780.16 = 7,538.52 : x
  2. Step 2: Convert to fraction form
    15,865.32/23,780.16 = 7,538.52/x
  3. Step 3: Cross multiply
    15,865.32x = 23,780.16 × 7,538.52
  4. Step 4: Simplify right side
    15,865.32x = 179,267,211.76
  5. Step 5: Solve for x
    x = 179,267,211.76/15,865.32
  6. Step 6: Final answer
    x = 11,299.31

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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.