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Finding the Fourth Proportional to 12,289.80, 18,443.76 and 9,011.28

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Solution

The fourth proportional to 12,289.80, 18,443.76 and 9,011.28 is: 13,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.80 : 18,443.76 = 9,011.28 : x
  2. Step 2: Convert to fraction form
    12,289.80/18,443.76 = 9,011.28/x
  3. Step 3: Cross multiply
    12,289.80x = 18,443.76 × 9,011.28
  4. Step 4: Simplify right side
    12,289.80x = 166,201,885.61
  5. Step 5: Solve for x
    x = 166,201,885.61/12,289.80
  6. Step 6: Final answer
    x = 13,523.56

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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.