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Finding the Fourth Proportional to 12,228.52, 18,323.46 and 9,297.88

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Solution

The fourth proportional to 12,228.52, 18,323.46 and 9,297.88 is: 13,932.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.52 : 18,323.46 = 9,297.88 : x
  2. Step 2: Convert to fraction form
    12,228.52/18,323.46 = 9,297.88/x
  3. Step 3: Cross multiply
    12,228.52x = 18,323.46 × 9,297.88
  4. Step 4: Simplify right side
    12,228.52x = 170,369,332.26
  5. Step 5: Solve for x
    x = 170,369,332.26/12,228.52
  6. Step 6: Final answer
    x = 13,932.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.