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Finding the Fourth Proportional to 13,294.60, 19,913.10 and 8,110.60

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Solution

The fourth proportional to 13,294.60, 19,913.10 and 8,110.60 is: 12,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.60 : 19,913.10 = 8,110.60 : x
  2. Step 2: Convert to fraction form
    13,294.60/19,913.10 = 8,110.60/x
  3. Step 3: Cross multiply
    13,294.60x = 19,913.10 × 8,110.60
  4. Step 4: Simplify right side
    13,294.60x = 161,507,188.86
  5. Step 5: Solve for x
    x = 161,507,188.86/13,294.60
  6. Step 6: Final answer
    x = 12,148.33

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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.