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Finding the Fourth Proportional to 22,608.66, 31,201.65 and 13,175.22

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Solution

The fourth proportional to 22,608.66, 31,201.65 and 13,175.22 is: 18,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,608.66 : 31,201.65 = 13,175.22 : x
  2. Step 2: Convert to fraction form
    22,608.66/31,201.65 = 13,175.22/x
  3. Step 3: Cross multiply
    22,608.66x = 31,201.65 × 13,175.22
  4. Step 4: Simplify right side
    22,608.66x = 411,088,603.11
  5. Step 5: Solve for x
    x = 411,088,603.11/22,608.66
  6. Step 6: Final answer
    x = 18,182.79

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1.5x scale

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.