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Finding the Fourth Proportional to 24,005.86, 33,123.69 and 13,935.46

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Solution

The fourth proportional to 24,005.86, 33,123.69 and 13,935.46 is: 19,228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.86 : 33,123.69 = 13,935.46 : x
  2. Step 2: Convert to fraction form
    24,005.86/33,123.69 = 13,935.46/x
  3. Step 3: Cross multiply
    24,005.86x = 33,123.69 × 13,935.46
  4. Step 4: Simplify right side
    24,005.86x = 461,593,857.05
  5. Step 5: Solve for x
    x = 461,593,857.05/24,005.86
  6. Step 6: Final answer
    x = 19,228.38

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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.