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Finding the Fourth Proportional to 12,010.31, 16,574.49 and 7,534.25

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Solution

The fourth proportional to 12,010.31, 16,574.49 and 7,534.25 is: 10,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.31 : 16,574.49 = 7,534.25 : x
  2. Step 2: Convert to fraction form
    12,010.31/16,574.49 = 7,534.25/x
  3. Step 3: Cross multiply
    12,010.31x = 16,574.49 × 7,534.25
  4. Step 4: Simplify right side
    12,010.31x = 124,876,268.41
  5. Step 5: Solve for x
    x = 124,876,268.41/12,010.31
  6. Step 6: Final answer
    x = 10,397.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.