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Finding the Fourth Proportional to 11,980.90, 17,882.65 and 11,242.18

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Solution

The fourth proportional to 11,980.90, 17,882.65 and 11,242.18 is: 16,780.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.90 : 17,882.65 = 11,242.18 : x
  2. Step 2: Convert to fraction form
    11,980.90/17,882.65 = 11,242.18/x
  3. Step 3: Cross multiply
    11,980.90x = 17,882.65 × 11,242.18
  4. Step 4: Simplify right side
    11,980.90x = 201,039,970.18
  5. Step 5: Solve for x
    x = 201,039,970.18/11,980.90
  6. Step 6: Final answer
    x = 16,780.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.