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Finding the Fourth Proportional to 12,987.40, 19,490.70 and 5,201.80

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Solution

The fourth proportional to 12,987.40, 19,490.70 and 5,201.80 is: 7,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.40 : 19,490.70 = 5,201.80 : x
  2. Step 2: Convert to fraction form
    12,987.40/19,490.70 = 5,201.80/x
  3. Step 3: Cross multiply
    12,987.40x = 19,490.70 × 5,201.80
  4. Step 4: Simplify right side
    12,987.40x = 101,386,723.26
  5. Step 5: Solve for x
    x = 101,386,723.26/12,987.40
  6. Step 6: Final answer
    x = 7,806.55

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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.