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Finding the Fourth Proportional to 17,877.68, 26,825.62 and 7,355.78

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Solution

The fourth proportional to 17,877.68, 26,825.62 and 7,355.78 is: 11,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.68 : 26,825.62 = 7,355.78 : x
  2. Step 2: Convert to fraction form
    17,877.68/26,825.62 = 7,355.78/x
  3. Step 3: Cross multiply
    17,877.68x = 26,825.62 × 7,355.78
  4. Step 4: Simplify right side
    17,877.68x = 197,323,359.08
  5. Step 5: Solve for x
    x = 197,323,359.08/17,877.68
  6. Step 6: Final answer
    x = 11,037.41

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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.