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Finding the Fourth Proportional to 21,616.89, 32,429.25 and 10,523.57

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Solution

The fourth proportional to 21,616.89, 32,429.25 and 10,523.57 is: 15,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,616.89 : 32,429.25 = 10,523.57 : x
  2. Step 2: Convert to fraction form
    21,616.89/32,429.25 = 10,523.57/x
  3. Step 3: Cross multiply
    21,616.89x = 32,429.25 × 10,523.57
  4. Step 4: Simplify right side
    21,616.89x = 341,271,482.42
  5. Step 5: Solve for x
    x = 341,271,482.42/21,616.89
  6. Step 6: Final answer
    x = 15,787.26

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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.