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Finding the Fourth Proportional to 13,187.60, 19,781.40 and 8,176.40

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Solution

The fourth proportional to 13,187.60, 19,781.40 and 8,176.40 is: 12,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.60 : 19,781.40 = 8,176.40 : x
  2. Step 2: Convert to fraction form
    13,187.60/19,781.40 = 8,176.40/x
  3. Step 3: Cross multiply
    13,187.60x = 19,781.40 × 8,176.40
  4. Step 4: Simplify right side
    13,187.60x = 161,740,638.96
  5. Step 5: Solve for x
    x = 161,740,638.96/13,187.60
  6. Step 6: Final answer
    x = 12,264.60

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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.