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Finding the Fourth Proportional to 17,875.57, 26,810.10 and 6,778.61

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Solution

The fourth proportional to 17,875.57, 26,810.10 and 6,778.61 is: 10,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.57 : 26,810.10 = 6,778.61 : x
  2. Step 2: Convert to fraction form
    17,875.57/26,810.10 = 6,778.61/x
  3. Step 3: Cross multiply
    17,875.57x = 26,810.10 × 6,778.61
  4. Step 4: Simplify right side
    17,875.57x = 181,735,211.96
  5. Step 5: Solve for x
    x = 181,735,211.96/17,875.57
  6. Step 6: Final answer
    x = 10,166.68

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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.