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Finding the Fourth Proportional to 13,902.92, 20,834.88 and 9,989

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Solution

The fourth proportional to 13,902.92, 20,834.88 and 9,989 is: 14,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.92 : 20,834.88 = 9,989 : x
  2. Step 2: Convert to fraction form
    13,902.92/20,834.88 = 9,989/x
  3. Step 3: Cross multiply
    13,902.92x = 20,834.88 × 9,989
  4. Step 4: Simplify right side
    13,902.92x = 208,119,616.32
  5. Step 5: Solve for x
    x = 208,119,616.32/13,902.92
  6. Step 6: Final answer
    x = 14,969.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.