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Finding the Fourth Proportional to 22,325.88, 33,488.80 and 9,169

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Solution

The fourth proportional to 22,325.88, 33,488.80 and 9,169 is: 13,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325.88 : 33,488.80 = 9,169 : x
  2. Step 2: Convert to fraction form
    22,325.88/33,488.80 = 9,169/x
  3. Step 3: Cross multiply
    22,325.88x = 33,488.80 × 9,169
  4. Step 4: Simplify right side
    22,325.88x = 307,058,807.20
  5. Step 5: Solve for x
    x = 307,058,807.20/22,325.88
  6. Step 6: Final answer
    x = 13,753.49

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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.