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Finding the Fourth Proportional to 12,469.84, 18,677.96 and 5,886.16

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Solution

The fourth proportional to 12,469.84, 18,677.96 and 5,886.16 is: 8,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,469.84 : 18,677.96 = 5,886.16 : x
  2. Step 2: Convert to fraction form
    12,469.84/18,677.96 = 5,886.16/x
  3. Step 3: Cross multiply
    12,469.84x = 18,677.96 × 5,886.16
  4. Step 4: Simplify right side
    12,469.84x = 109,941,461.03
  5. Step 5: Solve for x
    x = 109,941,461.03/12,469.84
  6. Step 6: Final answer
    x = 8,816.59

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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.