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Finding the Fourth Proportional to 17,875.83, 26,820.80 and 6,785.46

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Solution

The fourth proportional to 17,875.83, 26,820.80 and 6,785.46 is: 10,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.83 : 26,820.80 = 6,785.46 : x
  2. Step 2: Convert to fraction form
    17,875.83/26,820.80 = 6,785.46/x
  3. Step 3: Cross multiply
    17,875.83x = 26,820.80 × 6,785.46
  4. Step 4: Simplify right side
    17,875.83x = 181,991,576.75
  5. Step 5: Solve for x
    x = 181,991,576.75/17,875.83
  6. Step 6: Final answer
    x = 10,180.87

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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.