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Finding the Fourth Proportional to 21,728.39, 32,599.14 and 9,084.29

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Solution

The fourth proportional to 21,728.39, 32,599.14 and 9,084.29 is: 13,629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.39 : 32,599.14 = 9,084.29 : x
  2. Step 2: Convert to fraction form
    21,728.39/32,599.14 = 9,084.29/x
  3. Step 3: Cross multiply
    21,728.39x = 32,599.14 × 9,084.29
  4. Step 4: Simplify right side
    21,728.39x = 296,139,895.55
  5. Step 5: Solve for x
    x = 296,139,895.55/21,728.39
  6. Step 6: Final answer
    x = 13,629.17

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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.