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Finding the Fourth Proportional to 17,977.68, 26,966.16 and 5,665.68

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Solution

The fourth proportional to 17,977.68, 26,966.16 and 5,665.68 is: 8,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.68 : 26,966.16 = 5,665.68 : x
  2. Step 2: Convert to fraction form
    17,977.68/26,966.16 = 5,665.68/x
  3. Step 3: Cross multiply
    17,977.68x = 26,966.16 × 5,665.68
  4. Step 4: Simplify right side
    17,977.68x = 152,781,633.39
  5. Step 5: Solve for x
    x = 152,781,633.39/17,977.68
  6. Step 6: Final answer
    x = 8,498.41

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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.