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Finding the Fourth Proportional to 13,882.16, 20,821.08 and 4,646

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Solution

The fourth proportional to 13,882.16, 20,821.08 and 4,646 is: 6,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.16 : 20,821.08 = 4,646 : x
  2. Step 2: Convert to fraction form
    13,882.16/20,821.08 = 4,646/x
  3. Step 3: Cross multiply
    13,882.16x = 20,821.08 × 4,646
  4. Step 4: Simplify right side
    13,882.16x = 96,734,737.68
  5. Step 5: Solve for x
    x = 96,734,737.68/13,882.16
  6. Step 6: Final answer
    x = 6,968.28

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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.