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Finding the Fourth Proportional to 13,187.60, 19,788.60 and 5,397.20

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Solution

The fourth proportional to 13,187.60, 19,788.60 and 5,397.20 is: 8,098.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.60 : 19,788.60 = 5,397.20 : x
  2. Step 2: Convert to fraction form
    13,187.60/19,788.60 = 5,397.20/x
  3. Step 3: Cross multiply
    13,187.60x = 19,788.60 × 5,397.20
  4. Step 4: Simplify right side
    13,187.60x = 106,803,031.92
  5. Step 5: Solve for x
    x = 106,803,031.92/13,187.60
  6. Step 6: Final answer
    x = 8,098.75

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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.