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Finding the Fourth Proportional to 10,574.90, 14,600.49 and 9,452.24

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Solution

The fourth proportional to 10,574.90, 14,600.49 and 9,452.24 is: 13,050.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.90 : 14,600.49 = 9,452.24 : x
  2. Step 2: Convert to fraction form
    10,574.90/14,600.49 = 9,452.24/x
  3. Step 3: Cross multiply
    10,574.90x = 14,600.49 × 9,452.24
  4. Step 4: Simplify right side
    10,574.90x = 138,007,335.60
  5. Step 5: Solve for x
    x = 138,007,335.60/10,574.90
  6. Step 6: Final answer
    x = 13,050.46

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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.