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Finding the Fourth Proportional to 10,268.52, 15,328.48 and 9,022.94

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Solution

The fourth proportional to 10,268.52, 15,328.48 and 9,022.94 is: 13,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268.52 : 15,328.48 = 9,022.94 : x
  2. Step 2: Convert to fraction form
    10,268.52/15,328.48 = 9,022.94/x
  3. Step 3: Cross multiply
    10,268.52x = 15,328.48 × 9,022.94
  4. Step 4: Simplify right side
    10,268.52x = 138,307,955.33
  5. Step 5: Solve for x
    x = 138,307,955.33/10,268.52
  6. Step 6: Final answer
    x = 13,469.12

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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.