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Finding the Fourth Proportional to 17,882.64, 26,823.96 and 7,345.31

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Solution

The fourth proportional to 17,882.64, 26,823.96 and 7,345.31 is: 11,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,882.64 : 26,823.96 = 7,345.31 : x
  2. Step 2: Convert to fraction form
    17,882.64/26,823.96 = 7,345.31/x
  3. Step 3: Cross multiply
    17,882.64x = 26,823.96 × 7,345.31
  4. Step 4: Simplify right side
    17,882.64x = 197,030,301.63
  5. Step 5: Solve for x
    x = 197,030,301.63/17,882.64
  6. Step 6: Final answer
    x = 11,017.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.