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Finding the Fourth Proportional to 12,002.32, 16,559.40 and 8,278.48

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Solution

The fourth proportional to 12,002.32, 16,559.40 and 8,278.48 is: 11,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.32 : 16,559.40 = 8,278.48 : x
  2. Step 2: Convert to fraction form
    12,002.32/16,559.40 = 8,278.48/x
  3. Step 3: Cross multiply
    12,002.32x = 16,559.40 × 8,278.48
  4. Step 4: Simplify right side
    12,002.32x = 137,086,661.71
  5. Step 5: Solve for x
    x = 137,086,661.71/12,002.32
  6. Step 6: Final answer
    x = 11,421.68

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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.