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Finding the Fourth Proportional to 22,323.96, 30,807.48 and 13,371.84

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Solution

The fourth proportional to 22,323.96, 30,807.48 and 13,371.84 is: 18,453.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323.96 : 30,807.48 = 13,371.84 : x
  2. Step 2: Convert to fraction form
    22,323.96/30,807.48 = 13,371.84/x
  3. Step 3: Cross multiply
    22,323.96x = 30,807.48 × 13,371.84
  4. Step 4: Simplify right side
    22,323.96x = 411,952,693.36
  5. Step 5: Solve for x
    x = 411,952,693.36/22,323.96
  6. Step 6: Final answer
    x = 18,453.39

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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.