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Finding the Fourth Proportional to 12,808.20, 17,677.04 and 7,505.13

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Solution

The fourth proportional to 12,808.20, 17,677.04 and 7,505.13 is: 10,358.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.20 : 17,677.04 = 7,505.13 : x
  2. Step 2: Convert to fraction form
    12,808.20/17,677.04 = 7,505.13/x
  3. Step 3: Cross multiply
    12,808.20x = 17,677.04 × 7,505.13
  4. Step 4: Simplify right side
    12,808.20x = 132,668,483.22
  5. Step 5: Solve for x
    x = 132,668,483.22/12,808.20
  6. Step 6: Final answer
    x = 10,358.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.