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Finding the Fourth Proportional to 10,121.44, 15,203.74 and 9,529.60

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Solution

The fourth proportional to 10,121.44, 15,203.74 and 9,529.60 is: 14,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.44 : 15,203.74 = 9,529.60 : x
  2. Step 2: Convert to fraction form
    10,121.44/15,203.74 = 9,529.60/x
  3. Step 3: Cross multiply
    10,121.44x = 15,203.74 × 9,529.60
  4. Step 4: Simplify right side
    10,121.44x = 144,885,560.70
  5. Step 5: Solve for x
    x = 144,885,560.70/10,121.44
  6. Step 6: Final answer
    x = 14,314.72

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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.