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Finding the Fourth Proportional to 14,692.71, 22,042.38 and 4,832.07

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Solution

The fourth proportional to 14,692.71, 22,042.38 and 4,832.07 is: 7,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,692.71 : 22,042.38 = 4,832.07 : x
  2. Step 2: Convert to fraction form
    14,692.71/22,042.38 = 4,832.07/x
  3. Step 3: Cross multiply
    14,692.71x = 22,042.38 × 4,832.07
  4. Step 4: Simplify right side
    14,692.71x = 106,510,323.13
  5. Step 5: Solve for x
    x = 106,510,323.13/14,692.71
  6. Step 6: Final answer
    x = 7,249.20

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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.