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Finding the Fourth Proportional to 21,534.39, 32,301.72 and 6,742.17

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Solution

The fourth proportional to 21,534.39, 32,301.72 and 6,742.17 is: 10,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.39 : 32,301.72 = 6,742.17 : x
  2. Step 2: Convert to fraction form
    21,534.39/32,301.72 = 6,742.17/x
  3. Step 3: Cross multiply
    21,534.39x = 32,301.72 × 6,742.17
  4. Step 4: Simplify right side
    21,534.39x = 217,783,687.53
  5. Step 5: Solve for x
    x = 217,783,687.53/21,534.39
  6. Step 6: Final answer
    x = 10,113.30

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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.