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Finding the Fourth Proportional to 13,211.60, 19,788.60 and 10,266.80

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Solution

The fourth proportional to 13,211.60, 19,788.60 and 10,266.80 is: 15,377.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.60 : 19,788.60 = 10,266.80 : x
  2. Step 2: Convert to fraction form
    13,211.60/19,788.60 = 10,266.80/x
  3. Step 3: Cross multiply
    13,211.60x = 19,788.60 × 10,266.80
  4. Step 4: Simplify right side
    13,211.60x = 203,165,598.48
  5. Step 5: Solve for x
    x = 203,165,598.48/13,211.60
  6. Step 6: Final answer
    x = 15,377.82

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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.