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Finding the Fourth Proportional to 15,869.38, 21,902.34 and 12,086.50

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Solution

The fourth proportional to 15,869.38, 21,902.34 and 12,086.50 is: 16,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.38 : 21,902.34 = 12,086.50 : x
  2. Step 2: Convert to fraction form
    15,869.38/21,902.34 = 12,086.50/x
  3. Step 3: Cross multiply
    15,869.38x = 21,902.34 × 12,086.50
  4. Step 4: Simplify right side
    15,869.38x = 264,722,632.41
  5. Step 5: Solve for x
    x = 264,722,632.41/15,869.38
  6. Step 6: Final answer
    x = 16,681.35

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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.