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Finding the Fourth Proportional to 24,494.32, 33,802.86 and 14,934.76

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Solution

The fourth proportional to 24,494.32, 33,802.86 and 14,934.76 is: 20,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.32 : 33,802.86 = 14,934.76 : x
  2. Step 2: Convert to fraction form
    24,494.32/33,802.86 = 14,934.76/x
  3. Step 3: Cross multiply
    24,494.32x = 33,802.86 × 14,934.76
  4. Step 4: Simplify right side
    24,494.32x = 504,837,601.41
  5. Step 5: Solve for x
    x = 504,837,601.41/24,494.32
  6. Step 6: Final answer
    x = 20,610.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.