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Finding the Fourth Proportional to 22,633, 31,233.54 and 13,801

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Solution

The fourth proportional to 22,633, 31,233.54 and 13,801 is: 19,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633 : 31,233.54 = 13,801 : x
  2. Step 2: Convert to fraction form
    22,633/31,233.54 = 13,801/x
  3. Step 3: Cross multiply
    22,633x = 31,233.54 × 13,801
  4. Step 4: Simplify right side
    22,633x = 431,054,085.54
  5. Step 5: Solve for x
    x = 431,054,085.54/22,633
  6. Step 6: Final answer
    x = 19,045.38

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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.