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Finding the Fourth Proportional to 18,592.68, 25,658.10 and 10,209

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Solution

The fourth proportional to 18,592.68, 25,658.10 and 10,209 is: 14,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592.68 : 25,658.10 = 10,209 : x
  2. Step 2: Convert to fraction form
    18,592.68/25,658.10 = 10,209/x
  3. Step 3: Cross multiply
    18,592.68x = 25,658.10 × 10,209
  4. Step 4: Simplify right side
    18,592.68x = 261,943,542.90
  5. Step 5: Solve for x
    x = 261,943,542.90/18,592.68
  6. Step 6: Final answer
    x = 14,088.53

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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.