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Finding the Fourth Proportional to 24,692.10, 37,046.79 and 7,162.98

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Solution

The fourth proportional to 24,692.10, 37,046.79 and 7,162.98 is: 10,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,692.10 : 37,046.79 = 7,162.98 : x
  2. Step 2: Convert to fraction form
    24,692.10/37,046.79 = 7,162.98/x
  3. Step 3: Cross multiply
    24,692.10x = 37,046.79 × 7,162.98
  4. Step 4: Simplify right side
    24,692.10x = 265,365,415.83
  5. Step 5: Solve for x
    x = 265,365,415.83/24,692.10
  6. Step 6: Final answer
    x = 10,746.98

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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.