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Finding the Fourth Proportional to 22,101.25, 30,499.73 and 12,165.25

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Solution

The fourth proportional to 22,101.25, 30,499.73 and 12,165.25 is: 16,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,101.25 : 30,499.73 = 12,165.25 : x
  2. Step 2: Convert to fraction form
    22,101.25/30,499.73 = 12,165.25/x
  3. Step 3: Cross multiply
    22,101.25x = 30,499.73 × 12,165.25
  4. Step 4: Simplify right side
    22,101.25x = 371,036,840.38
  5. Step 5: Solve for x
    x = 371,036,840.38/22,101.25
  6. Step 6: Final answer
    x = 16,788.05

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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.