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Finding the Fourth Proportional to 22,326.88, 33,490.30 and 9,170

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Solution

The fourth proportional to 22,326.88, 33,490.30 and 9,170 is: 13,754.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,326.88 : 33,490.30 = 9,170 : x
  2. Step 2: Convert to fraction form
    22,326.88/33,490.30 = 9,170/x
  3. Step 3: Cross multiply
    22,326.88x = 33,490.30 × 9,170
  4. Step 4: Simplify right side
    22,326.88x = 307,106,051
  5. Step 5: Solve for x
    x = 307,106,051/22,326.88
  6. Step 6: Final answer
    x = 13,754.99

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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.