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Finding the Fourth Proportional to 16,460.40, 24,692.63 and 5,364.11

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Solution

The fourth proportional to 16,460.40, 24,692.63 and 5,364.11 is: 8,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.40 : 24,692.63 = 5,364.11 : x
  2. Step 2: Convert to fraction form
    16,460.40/24,692.63 = 5,364.11/x
  3. Step 3: Cross multiply
    16,460.40x = 24,692.63 × 5,364.11
  4. Step 4: Simplify right side
    16,460.40x = 132,453,833.23
  5. Step 5: Solve for x
    x = 132,453,833.23/16,460.40
  6. Step 6: Final answer
    x = 8,046.82

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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.