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Finding the Fourth Proportional to 21,534.35, 32,282.06 and 7,680.11

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Solution

The fourth proportional to 21,534.35, 32,282.06 and 7,680.11 is: 11,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,534.35 : 32,282.06 = 7,680.11 : x
  2. Step 2: Convert to fraction form
    21,534.35/32,282.06 = 7,680.11/x
  3. Step 3: Cross multiply
    21,534.35x = 32,282.06 × 7,680.11
  4. Step 4: Simplify right side
    21,534.35x = 247,929,572.02
  5. Step 5: Solve for x
    x = 247,929,572.02/21,534.35
  6. Step 6: Final answer
    x = 11,513.22

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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.