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Finding the Fourth Proportional to 10,230.28, 15,322.93 and 8,455.16

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Solution

The fourth proportional to 10,230.28, 15,322.93 and 8,455.16 is: 12,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.28 : 15,322.93 = 8,455.16 : x
  2. Step 2: Convert to fraction form
    10,230.28/15,322.93 = 8,455.16/x
  3. Step 3: Cross multiply
    10,230.28x = 15,322.93 × 8,455.16
  4. Step 4: Simplify right side
    10,230.28x = 129,557,841.99
  5. Step 5: Solve for x
    x = 129,557,841.99/10,230.28
  6. Step 6: Final answer
    x = 12,664.16

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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.