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Finding the Fourth Proportional to 16,598.49, 22,908.87 and 9,888

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Solution

The fourth proportional to 16,598.49, 22,908.87 and 9,888 is: 13,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.49 : 22,908.87 = 9,888 : x
  2. Step 2: Convert to fraction form
    16,598.49/22,908.87 = 9,888/x
  3. Step 3: Cross multiply
    16,598.49x = 22,908.87 × 9,888
  4. Step 4: Simplify right side
    16,598.49x = 226,522,906.56
  5. Step 5: Solve for x
    x = 226,522,906.56/16,598.49
  6. Step 6: Final answer
    x = 13,647.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.