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Finding the Fourth Proportional to 10,201.44, 15,217.40 and 10,032.28

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Solution

The fourth proportional to 10,201.44, 15,217.40 and 10,032.28 is: 14,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.44 : 15,217.40 = 10,032.28 : x
  2. Step 2: Convert to fraction form
    10,201.44/15,217.40 = 10,032.28/x
  3. Step 3: Cross multiply
    10,201.44x = 15,217.40 × 10,032.28
  4. Step 4: Simplify right side
    10,201.44x = 152,665,217.67
  5. Step 5: Solve for x
    x = 152,665,217.67/10,201.44
  6. Step 6: Final answer
    x = 14,965.07

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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.