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Finding the Fourth Proportional to 12,304.84, 16,980.36 and 7,523.20

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Solution

The fourth proportional to 12,304.84, 16,980.36 and 7,523.20 is: 10,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.84 : 16,980.36 = 7,523.20 : x
  2. Step 2: Convert to fraction form
    12,304.84/16,980.36 = 7,523.20/x
  3. Step 3: Cross multiply
    12,304.84x = 16,980.36 × 7,523.20
  4. Step 4: Simplify right side
    12,304.84x = 127,746,644.35
  5. Step 5: Solve for x
    x = 127,746,644.35/12,304.84
  6. Step 6: Final answer
    x = 10,381.82

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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.