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Finding the Fourth Proportional to 21,708.06, 32,567 and 6,917.82

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Solution

The fourth proportional to 21,708.06, 32,567 and 6,917.82 is: 10,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.06 : 32,567 = 6,917.82 : x
  2. Step 2: Convert to fraction form
    21,708.06/32,567 = 6,917.82/x
  3. Step 3: Cross multiply
    21,708.06x = 32,567 × 6,917.82
  4. Step 4: Simplify right side
    21,708.06x = 225,292,643.94
  5. Step 5: Solve for x
    x = 225,292,643.94/21,708.06
  6. Step 6: Final answer
    x = 10,378.29

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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.