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Finding the Fourth Proportional to 10,409.92, 15,652.34 and 9,598.12

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Solution

The fourth proportional to 10,409.92, 15,652.34 and 9,598.12 is: 14,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.92 : 15,652.34 = 9,598.12 : x
  2. Step 2: Convert to fraction form
    10,409.92/15,652.34 = 9,598.12/x
  3. Step 3: Cross multiply
    10,409.92x = 15,652.34 × 9,598.12
  4. Step 4: Simplify right side
    10,409.92x = 150,233,037.60
  5. Step 5: Solve for x
    x = 150,233,037.60/10,409.92
  6. Step 6: Final answer
    x = 14,431.72

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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.