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Finding the Fourth Proportional to 17,641.38, 26,462.10 and 7,780.70

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Solution

The fourth proportional to 17,641.38, 26,462.10 and 7,780.70 is: 11,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.38 : 26,462.10 = 7,780.70 : x
  2. Step 2: Convert to fraction form
    17,641.38/26,462.10 = 7,780.70/x
  3. Step 3: Cross multiply
    17,641.38x = 26,462.10 × 7,780.70
  4. Step 4: Simplify right side
    17,641.38x = 205,893,661.47
  5. Step 5: Solve for x
    x = 205,893,661.47/17,641.38
  6. Step 6: Final answer
    x = 11,671.06

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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.