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Finding the Fourth Proportional to 18,497, 25,526.49 and 10,114.04

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Solution

The fourth proportional to 18,497, 25,526.49 and 10,114.04 is: 13,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497 : 25,526.49 = 10,114.04 : x
  2. Step 2: Convert to fraction form
    18,497/25,526.49 = 10,114.04/x
  3. Step 3: Cross multiply
    18,497x = 25,526.49 × 10,114.04
  4. Step 4: Simplify right side
    18,497x = 258,175,940.92
  5. Step 5: Solve for x
    x = 258,175,940.92/18,497
  6. Step 6: Final answer
    x = 13,957.72

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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.