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Finding the Fourth Proportional to 20,838.54, 28,756.90 and 11,886.20

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Solution

The fourth proportional to 20,838.54, 28,756.90 and 11,886.20 is: 16,402.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.54 : 28,756.90 = 11,886.20 : x
  2. Step 2: Convert to fraction form
    20,838.54/28,756.90 = 11,886.20/x
  3. Step 3: Cross multiply
    20,838.54x = 28,756.90 × 11,886.20
  4. Step 4: Simplify right side
    20,838.54x = 341,810,264.78
  5. Step 5: Solve for x
    x = 341,810,264.78/20,838.54
  6. Step 6: Final answer
    x = 16,402.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.