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Finding the Fourth Proportional to 12,304.89, 16,980.72 and 7,589.16

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Solution

The fourth proportional to 12,304.89, 16,980.72 and 7,589.16 is: 10,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.89 : 16,980.72 = 7,589.16 : x
  2. Step 2: Convert to fraction form
    12,304.89/16,980.72 = 7,589.16/x
  3. Step 3: Cross multiply
    12,304.89x = 16,980.72 × 7,589.16
  4. Step 4: Simplify right side
    12,304.89x = 128,869,401.00
  5. Step 5: Solve for x
    x = 128,869,401.00/12,304.89
  6. Step 6: Final answer
    x = 10,473.02

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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.