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Finding the Fourth Proportional to 24,097.32, 33,251.34 and 13,341.37

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Solution

The fourth proportional to 24,097.32, 33,251.34 and 13,341.37 is: 18,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.32 : 33,251.34 = 13,341.37 : x
  2. Step 2: Convert to fraction form
    24,097.32/33,251.34 = 13,341.37/x
  3. Step 3: Cross multiply
    24,097.32x = 33,251.34 × 13,341.37
  4. Step 4: Simplify right side
    24,097.32x = 443,618,429.94
  5. Step 5: Solve for x
    x = 443,618,429.94/24,097.32
  6. Step 6: Final answer
    x = 18,409.45

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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.