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Finding the Fourth Proportional to 22,772.58, 31,428.90 and 13,341.14

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Solution

The fourth proportional to 22,772.58, 31,428.90 and 13,341.14 is: 18,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772.58 : 31,428.90 = 13,341.14 : x
  2. Step 2: Convert to fraction form
    22,772.58/31,428.90 = 13,341.14/x
  3. Step 3: Cross multiply
    22,772.58x = 31,428.90 × 13,341.14
  4. Step 4: Simplify right side
    22,772.58x = 419,297,374.59
  5. Step 5: Solve for x
    x = 419,297,374.59/22,772.58
  6. Step 6: Final answer
    x = 18,412.38

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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.