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Finding the Fourth Proportional to 22,632, 31,232.16 and 13,800

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Solution

The fourth proportional to 22,632, 31,232.16 and 13,800 is: 19,044

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632 : 31,232.16 = 13,800 : x
  2. Step 2: Convert to fraction form
    22,632/31,232.16 = 13,800/x
  3. Step 3: Cross multiply
    22,632x = 31,232.16 × 13,800
  4. Step 4: Simplify right side
    22,632x = 431,003,808
  5. Step 5: Solve for x
    x = 431,003,808/22,632
  6. Step 6: Final answer
    x = 19,044

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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.