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Finding the Fourth Proportional to 17,920.72, 26,885.02 and 6,827.46

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Solution

The fourth proportional to 17,920.72, 26,885.02 and 6,827.46 is: 10,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.72 : 26,885.02 = 6,827.46 : x
  2. Step 2: Convert to fraction form
    17,920.72/26,885.02 = 6,827.46/x
  3. Step 3: Cross multiply
    17,920.72x = 26,885.02 × 6,827.46
  4. Step 4: Simplify right side
    17,920.72x = 183,556,398.65
  5. Step 5: Solve for x
    x = 183,556,398.65/17,920.72
  6. Step 6: Final answer
    x = 10,242.69

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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.