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Finding the Fourth Proportional to 10,441.56, 15,681.78 and 9,573.24

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Solution

The fourth proportional to 10,441.56, 15,681.78 and 9,573.24 is: 14,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.56 : 15,681.78 = 9,573.24 : x
  2. Step 2: Convert to fraction form
    10,441.56/15,681.78 = 9,573.24/x
  3. Step 3: Cross multiply
    10,441.56x = 15,681.78 × 9,573.24
  4. Step 4: Simplify right side
    10,441.56x = 150,125,443.57
  5. Step 5: Solve for x
    x = 150,125,443.57/10,441.56
  6. Step 6: Final answer
    x = 14,377.68

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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.