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Finding the Fourth Proportional to 12,988.60, 19,474.78 and 5,488.30

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Solution

The fourth proportional to 12,988.60, 19,474.78 and 5,488.30 is: 8,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,988.60 : 19,474.78 = 5,488.30 : x
  2. Step 2: Convert to fraction form
    12,988.60/19,474.78 = 5,488.30/x
  3. Step 3: Cross multiply
    12,988.60x = 19,474.78 × 5,488.30
  4. Step 4: Simplify right side
    12,988.60x = 106,883,435.07
  5. Step 5: Solve for x
    x = 106,883,435.07/12,988.60
  6. Step 6: Final answer
    x = 8,229.02

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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.