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Finding the Fourth Proportional to 11,808.90, 17,713.35 and 10,205.10

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Solution

The fourth proportional to 11,808.90, 17,713.35 and 10,205.10 is: 15,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.90 : 17,713.35 = 10,205.10 : x
  2. Step 2: Convert to fraction form
    11,808.90/17,713.35 = 10,205.10/x
  3. Step 3: Cross multiply
    11,808.90x = 17,713.35 × 10,205.10
  4. Step 4: Simplify right side
    11,808.90x = 180,766,508.09
  5. Step 5: Solve for x
    x = 180,766,508.09/11,808.90
  6. Step 6: Final answer
    x = 15,307.65

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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.