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Finding the Fourth Proportional to 20,411.36, 30,616.32 and 6,560

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Solution

The fourth proportional to 20,411.36, 30,616.32 and 6,560 is: 9,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.36 : 30,616.32 = 6,560 : x
  2. Step 2: Convert to fraction form
    20,411.36/30,616.32 = 6,560/x
  3. Step 3: Cross multiply
    20,411.36x = 30,616.32 × 6,560
  4. Step 4: Simplify right side
    20,411.36x = 200,843,059.20
  5. Step 5: Solve for x
    x = 200,843,059.20/20,411.36
  6. Step 6: Final answer
    x = 9,839.77

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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.