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Finding the Fourth Proportional to 22,458, 33,692.76 and 16,140.24

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Solution

The fourth proportional to 22,458, 33,692.76 and 16,140.24 is: 24,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458 : 33,692.76 = 16,140.24 : x
  2. Step 2: Convert to fraction form
    22,458/33,692.76 = 16,140.24/x
  3. Step 3: Cross multiply
    22,458x = 33,692.76 × 16,140.24
  4. Step 4: Simplify right side
    22,458x = 543,809,232.66
  5. Step 5: Solve for x
    x = 543,809,232.66/22,458
  6. Step 6: Final answer
    x = 24,214.50

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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.