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Finding the Fourth Proportional to 21,982.39, 32,965.38 and 8,830.32

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Solution

The fourth proportional to 21,982.39, 32,965.38 and 8,830.32 is: 13,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.39 : 32,965.38 = 8,830.32 : x
  2. Step 2: Convert to fraction form
    21,982.39/32,965.38 = 8,830.32/x
  3. Step 3: Cross multiply
    21,982.39x = 32,965.38 × 8,830.32
  4. Step 4: Simplify right side
    21,982.39x = 291,094,730.70
  5. Step 5: Solve for x
    x = 291,094,730.70/21,982.39
  6. Step 6: Final answer
    x = 13,242.18

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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.