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Finding the Fourth Proportional to 21,708.67, 32,565.38 and 6,914.11

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Solution

The fourth proportional to 21,708.67, 32,565.38 and 6,914.11 is: 10,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708.67 : 32,565.38 = 6,914.11 : x
  2. Step 2: Convert to fraction form
    21,708.67/32,565.38 = 6,914.11/x
  3. Step 3: Cross multiply
    21,708.67x = 32,565.38 × 6,914.11
  4. Step 4: Simplify right side
    21,708.67x = 225,160,619.51
  5. Step 5: Solve for x
    x = 225,160,619.51/21,708.67
  6. Step 6: Final answer
    x = 10,371.92

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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.