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Finding the Fourth Proportional to 17,758.64, 26,637.96 and 6,071.96

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Solution

The fourth proportional to 17,758.64, 26,637.96 and 6,071.96 is: 9,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.64 : 26,637.96 = 6,071.96 : x
  2. Step 2: Convert to fraction form
    17,758.64/26,637.96 = 6,071.96/x
  3. Step 3: Cross multiply
    17,758.64x = 26,637.96 × 6,071.96
  4. Step 4: Simplify right side
    17,758.64x = 161,744,627.60
  5. Step 5: Solve for x
    x = 161,744,627.60/17,758.64
  6. Step 6: Final answer
    x = 9,107.94

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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.