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Finding the Fourth Proportional to 11,657.60, 17,486.40 and 8,401.40

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Solution

The fourth proportional to 11,657.60, 17,486.40 and 8,401.40 is: 12,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.60 : 17,486.40 = 8,401.40 : x
  2. Step 2: Convert to fraction form
    11,657.60/17,486.40 = 8,401.40/x
  3. Step 3: Cross multiply
    11,657.60x = 17,486.40 × 8,401.40
  4. Step 4: Simplify right side
    11,657.60x = 146,910,240.96
  5. Step 5: Solve for x
    x = 146,910,240.96/11,657.60
  6. Step 6: Final answer
    x = 12,602.10

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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.