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Finding the Fourth Proportional to 21,680.19, 32,520.29 and 7,829.19

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Solution

The fourth proportional to 21,680.19, 32,520.29 and 7,829.19 is: 11,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,680.19 : 32,520.29 = 7,829.19 : x
  2. Step 2: Convert to fraction form
    21,680.19/32,520.29 = 7,829.19/x
  3. Step 3: Cross multiply
    21,680.19x = 32,520.29 × 7,829.19
  4. Step 4: Simplify right side
    21,680.19x = 254,607,490.12
  5. Step 5: Solve for x
    x = 254,607,490.12/21,680.19
  6. Step 6: Final answer
    x = 11,743.79

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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.