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Finding the Fourth Proportional to 17,877.47, 26,810.97 and 6,776.15

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Solution

The fourth proportional to 17,877.47, 26,810.97 and 6,776.15 is: 10,162.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,877.47 : 26,810.97 = 6,776.15 : x
  2. Step 2: Convert to fraction form
    17,877.47/26,810.97 = 6,776.15/x
  3. Step 3: Cross multiply
    17,877.47x = 26,810.97 × 6,776.15
  4. Step 4: Simplify right side
    17,877.47x = 181,675,020.31
  5. Step 5: Solve for x
    x = 181,675,020.31/17,877.47
  6. Step 6: Final answer
    x = 10,162.24

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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.