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Finding the Fourth Proportional to 11,657.70, 17,486.55 and 11,147.40

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Solution

The fourth proportional to 11,657.70, 17,486.55 and 11,147.40 is: 16,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.70 : 17,486.55 = 11,147.40 : x
  2. Step 2: Convert to fraction form
    11,657.70/17,486.55 = 11,147.40/x
  3. Step 3: Cross multiply
    11,657.70x = 17,486.55 × 11,147.40
  4. Step 4: Simplify right side
    11,657.70x = 194,929,567.47
  5. Step 5: Solve for x
    x = 194,929,567.47/11,657.70
  6. Step 6: Final answer
    x = 16,721.10

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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.