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Finding the Fourth Proportional to 21,714.68, 32,574.38 and 6,920.12

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Solution

The fourth proportional to 21,714.68, 32,574.38 and 6,920.12 is: 10,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.68 : 32,574.38 = 6,920.12 : x
  2. Step 2: Convert to fraction form
    21,714.68/32,574.38 = 6,920.12/x
  3. Step 3: Cross multiply
    21,714.68x = 32,574.38 × 6,920.12
  4. Step 4: Simplify right side
    21,714.68x = 225,418,618.53
  5. Step 5: Solve for x
    x = 225,418,618.53/21,714.68
  6. Step 6: Final answer
    x = 10,380.93

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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.