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Finding the Fourth Proportional to 27,808.40, 38,381.64 and 18,377.84

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Solution

The fourth proportional to 27,808.40, 38,381.64 and 18,377.84 is: 25,365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.40 : 38,381.64 = 18,377.84 : x
  2. Step 2: Convert to fraction form
    27,808.40/38,381.64 = 18,377.84/x
  3. Step 3: Cross multiply
    27,808.40x = 38,381.64 × 18,377.84
  4. Step 4: Simplify right side
    27,808.40x = 705,371,638.86
  5. Step 5: Solve for x
    x = 705,371,638.86/27,808.40
  6. Step 6: Final answer
    x = 25,365.42

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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.