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Finding the Fourth Proportional to 13,101.60, 19,654.80 and 5,311.20

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Solution

The fourth proportional to 13,101.60, 19,654.80 and 5,311.20 is: 7,967.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.60 : 19,654.80 = 5,311.20 : x
  2. Step 2: Convert to fraction form
    13,101.60/19,654.80 = 5,311.20/x
  3. Step 3: Cross multiply
    13,101.60x = 19,654.80 × 5,311.20
  4. Step 4: Simplify right side
    13,101.60x = 104,390,573.76
  5. Step 5: Solve for x
    x = 104,390,573.76/13,101.60
  6. Step 6: Final answer
    x = 7,967.77

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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.