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Finding the Fourth Proportional to 20,710.35, 31,075.71 and 8,230.03

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Solution

The fourth proportional to 20,710.35, 31,075.71 and 8,230.03 is: 12,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.35 : 31,075.71 = 8,230.03 : x
  2. Step 2: Convert to fraction form
    20,710.35/31,075.71 = 8,230.03/x
  3. Step 3: Cross multiply
    20,710.35x = 31,075.71 × 8,230.03
  4. Step 4: Simplify right side
    20,710.35x = 255,753,917.02
  5. Step 5: Solve for x
    x = 255,753,917.02/20,710.35
  6. Step 6: Final answer
    x = 12,349.08

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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.