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Finding the Fourth Proportional to 20,900.16, 31,341.02 and 9,797.88

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Solution

The fourth proportional to 20,900.16, 31,341.02 and 9,797.88 is: 14,692.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.16 : 31,341.02 = 9,797.88 : x
  2. Step 2: Convert to fraction form
    20,900.16/31,341.02 = 9,797.88/x
  3. Step 3: Cross multiply
    20,900.16x = 31,341.02 × 9,797.88
  4. Step 4: Simplify right side
    20,900.16x = 307,075,553.04
  5. Step 5: Solve for x
    x = 307,075,553.04/20,900.16
  6. Step 6: Final answer
    x = 14,692.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.