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Finding the Fourth Proportional to 11,098.60, 16,647.90 and 10,023.40

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Solution

The fourth proportional to 11,098.60, 16,647.90 and 10,023.40 is: 15,035.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,098.60 : 16,647.90 = 10,023.40 : x
  2. Step 2: Convert to fraction form
    11,098.60/16,647.90 = 10,023.40/x
  3. Step 3: Cross multiply
    11,098.60x = 16,647.90 × 10,023.40
  4. Step 4: Simplify right side
    11,098.60x = 166,868,560.86
  5. Step 5: Solve for x
    x = 166,868,560.86/11,098.60
  6. Step 6: Final answer
    x = 15,035.10

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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.