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Finding the Fourth Proportional to 12,304.98, 16,987.77 and 8,120.52

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Solution

The fourth proportional to 12,304.98, 16,987.77 and 8,120.52 is: 11,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.98 : 16,987.77 = 8,120.52 : x
  2. Step 2: Convert to fraction form
    12,304.98/16,987.77 = 8,120.52/x
  3. Step 3: Cross multiply
    12,304.98x = 16,987.77 × 8,120.52
  4. Step 4: Simplify right side
    12,304.98x = 137,949,526.04
  5. Step 5: Solve for x
    x = 137,949,526.04/12,304.98
  6. Step 6: Final answer
    x = 11,210.87

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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.