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Finding the Fourth Proportional to 12,808.68, 17,677.56 and 7,505.52

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Solution

The fourth proportional to 12,808.68, 17,677.56 and 7,505.52 is: 10,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808.68 : 17,677.56 = 7,505.52 : x
  2. Step 2: Convert to fraction form
    12,808.68/17,677.56 = 7,505.52/x
  3. Step 3: Cross multiply
    12,808.68x = 17,677.56 × 7,505.52
  4. Step 4: Simplify right side
    12,808.68x = 132,679,280.13
  5. Step 5: Solve for x
    x = 132,679,280.13/12,808.68
  6. Step 6: Final answer
    x = 10,358.54

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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.