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Finding the Fourth Proportional to 12,987.60, 19,452.60 and 5,192.40

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Solution

The fourth proportional to 12,987.60, 19,452.60 and 5,192.40 is: 7,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987.60 : 19,452.60 = 5,192.40 : x
  2. Step 2: Convert to fraction form
    12,987.60/19,452.60 = 5,192.40/x
  3. Step 3: Cross multiply
    12,987.60x = 19,452.60 × 5,192.40
  4. Step 4: Simplify right side
    12,987.60x = 101,005,680.24
  5. Step 5: Solve for x
    x = 101,005,680.24/12,987.60
  6. Step 6: Final answer
    x = 7,777.09

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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.