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Finding the Fourth Proportional to 24,011.69, 33,134.78 and 13,402.01

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Solution

The fourth proportional to 24,011.69, 33,134.78 and 13,402.01 is: 18,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,011.69 : 33,134.78 = 13,402.01 : x
  2. Step 2: Convert to fraction form
    24,011.69/33,134.78 = 13,402.01/x
  3. Step 3: Cross multiply
    24,011.69x = 33,134.78 × 13,402.01
  4. Step 4: Simplify right side
    24,011.69x = 444,072,520.74
  5. Step 5: Solve for x
    x = 444,072,520.74/24,011.69
  6. Step 6: Final answer
    x = 18,494.01

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