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Finding the Fourth Proportional to 17,506.96, 26,257.33 and 6,976.10

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Solution

The fourth proportional to 17,506.96, 26,257.33 and 6,976.10 is: 10,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,506.96 : 26,257.33 = 6,976.10 : x
  2. Step 2: Convert to fraction form
    17,506.96/26,257.33 = 6,976.10/x
  3. Step 3: Cross multiply
    17,506.96x = 26,257.33 × 6,976.10
  4. Step 4: Simplify right side
    17,506.96x = 183,173,759.81
  5. Step 5: Solve for x
    x = 183,173,759.81/17,506.96
  6. Step 6: Final answer
    x = 10,462.91

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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.