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Finding the Fourth Proportional to 10,382.30, 15,472.75 and 10,050.22

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Solution

The fourth proportional to 10,382.30, 15,472.75 and 10,050.22 is: 14,977.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.30 : 15,472.75 = 10,050.22 : x
  2. Step 2: Convert to fraction form
    10,382.30/15,472.75 = 10,050.22/x
  3. Step 3: Cross multiply
    10,382.30x = 15,472.75 × 10,050.22
  4. Step 4: Simplify right side
    10,382.30x = 155,504,541.51
  5. Step 5: Solve for x
    x = 155,504,541.51/10,382.30
  6. Step 6: Final answer
    x = 14,977.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.