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Finding the Fourth Proportional to 27,886.29, 38,483.15 and 15,311.85

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Solution

The fourth proportional to 27,886.29, 38,483.15 and 15,311.85 is: 21,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.29 : 38,483.15 = 15,311.85 : x
  2. Step 2: Convert to fraction form
    27,886.29/38,483.15 = 15,311.85/x
  3. Step 3: Cross multiply
    27,886.29x = 38,483.15 × 15,311.85
  4. Step 4: Simplify right side
    27,886.29x = 589,248,220.33
  5. Step 5: Solve for x
    x = 589,248,220.33/27,886.29
  6. Step 6: Final answer
    x = 21,130.39

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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.