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Finding the Fourth Proportional to 16,501.50, 24,733.38 and 6,634.47

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Solution

The fourth proportional to 16,501.50, 24,733.38 and 6,634.47 is: 9,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.50 : 24,733.38 = 6,634.47 : x
  2. Step 2: Convert to fraction form
    16,501.50/24,733.38 = 6,634.47/x
  3. Step 3: Cross multiply
    16,501.50x = 24,733.38 × 6,634.47
  4. Step 4: Simplify right side
    16,501.50x = 164,092,867.61
  5. Step 5: Solve for x
    x = 164,092,867.61/16,501.50
  6. Step 6: Final answer
    x = 9,944.12

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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.