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Finding the Fourth Proportional to 22,690.90, 33,984.51 and 13,437.46

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Solution

The fourth proportional to 22,690.90, 33,984.51 and 13,437.46 is: 20,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,690.90 : 33,984.51 = 13,437.46 : x
  2. Step 2: Convert to fraction form
    22,690.90/33,984.51 = 13,437.46/x
  3. Step 3: Cross multiply
    22,690.90x = 33,984.51 × 13,437.46
  4. Step 4: Simplify right side
    22,690.90x = 456,665,493.74
  5. Step 5: Solve for x
    x = 456,665,493.74/22,690.90
  6. Step 6: Final answer
    x = 20,125.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.