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Finding the Fourth Proportional to 24,394.24, 33,663.72 and 13,216.24

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Solution

The fourth proportional to 24,394.24, 33,663.72 and 13,216.24 is: 18,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.24 : 33,663.72 = 13,216.24 : x
  2. Step 2: Convert to fraction form
    24,394.24/33,663.72 = 13,216.24/x
  3. Step 3: Cross multiply
    24,394.24x = 33,663.72 × 13,216.24
  4. Step 4: Simplify right side
    24,394.24x = 444,907,802.81
  5. Step 5: Solve for x
    x = 444,907,802.81/24,394.24
  6. Step 6: Final answer
    x = 18,238.23

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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.