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Finding the Fourth Proportional to 10,265.76, 15,324.38 and 9,020.19

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Solution

The fourth proportional to 10,265.76, 15,324.38 and 9,020.19 is: 13,465.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.76 : 15,324.38 = 9,020.19 : x
  2. Step 2: Convert to fraction form
    10,265.76/15,324.38 = 9,020.19/x
  3. Step 3: Cross multiply
    10,265.76x = 15,324.38 × 9,020.19
  4. Step 4: Simplify right side
    10,265.76x = 138,228,899.25
  5. Step 5: Solve for x
    x = 138,228,899.25/10,265.76
  6. Step 6: Final answer
    x = 13,465.05

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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.