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Finding the Fourth Proportional to 20,803.38, 28,692.14 and 15,715.86

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Solution

The fourth proportional to 20,803.38, 28,692.14 and 15,715.86 is: 21,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.38 : 28,692.14 = 15,715.86 : x
  2. Step 2: Convert to fraction form
    20,803.38/28,692.14 = 15,715.86/x
  3. Step 3: Cross multiply
    20,803.38x = 28,692.14 × 15,715.86
  4. Step 4: Simplify right side
    20,803.38x = 450,921,655.34
  5. Step 5: Solve for x
    x = 450,921,655.34/20,803.38
  6. Step 6: Final answer
    x = 21,675.40

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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.