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Finding the Fourth Proportional to 17,842.40, 26,785.20 and 17,712.80

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Solution

The fourth proportional to 17,842.40, 26,785.20 and 17,712.80 is: 26,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.40 : 26,785.20 = 17,712.80 : x
  2. Step 2: Convert to fraction form
    17,842.40/26,785.20 = 17,712.80/x
  3. Step 3: Cross multiply
    17,842.40x = 26,785.20 × 17,712.80
  4. Step 4: Simplify right side
    17,842.40x = 474,440,890.56
  5. Step 5: Solve for x
    x = 474,440,890.56/17,842.40
  6. Step 6: Final answer
    x = 26,590.64

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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.