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Finding the Fourth Proportional to 20,835.95, 28,753.59 and 11,404.50

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Solution

The fourth proportional to 20,835.95, 28,753.59 and 11,404.50 is: 15,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,835.95 : 28,753.59 = 11,404.50 : x
  2. Step 2: Convert to fraction form
    20,835.95/28,753.59 = 11,404.50/x
  3. Step 3: Cross multiply
    20,835.95x = 28,753.59 × 11,404.50
  4. Step 4: Simplify right side
    20,835.95x = 327,920,317.16
  5. Step 5: Solve for x
    x = 327,920,317.16/20,835.95
  6. Step 6: Final answer
    x = 15,738.20

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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.