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Finding the Fourth Proportional to 17,875.64, 26,820.50 and 6,785.27

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Solution

The fourth proportional to 17,875.64, 26,820.50 and 6,785.27 is: 10,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,875.64 : 26,820.50 = 6,785.27 : x
  2. Step 2: Convert to fraction form
    17,875.64/26,820.50 = 6,785.27/x
  3. Step 3: Cross multiply
    17,875.64x = 26,820.50 × 6,785.27
  4. Step 4: Simplify right side
    17,875.64x = 181,984,304.75
  5. Step 5: Solve for x
    x = 181,984,304.75/17,875.64
  6. Step 6: Final answer
    x = 10,180.58

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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.