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Finding the Fourth Proportional to 22,208.74, 30,661.41 and 13,836.58

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Solution

The fourth proportional to 22,208.74, 30,661.41 and 13,836.58 is: 19,102.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,208.74 : 30,661.41 = 13,836.58 : x
  2. Step 2: Convert to fraction form
    22,208.74/30,661.41 = 13,836.58/x
  3. Step 3: Cross multiply
    22,208.74x = 30,661.41 × 13,836.58
  4. Step 4: Simplify right side
    22,208.74x = 424,249,052.38
  5. Step 5: Solve for x
    x = 424,249,052.38/22,208.74
  6. Step 6: Final answer
    x = 19,102.80

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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.