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Finding the Fourth Proportional to 21,538.36, 29,713.80 and 13,150

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Solution

The fourth proportional to 21,538.36, 29,713.80 and 13,150 is: 18,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.36 : 29,713.80 = 13,150 : x
  2. Step 2: Convert to fraction form
    21,538.36/29,713.80 = 13,150/x
  3. Step 3: Cross multiply
    21,538.36x = 29,713.80 × 13,150
  4. Step 4: Simplify right side
    21,538.36x = 390,736,470
  5. Step 5: Solve for x
    x = 390,736,470/21,538.36
  6. Step 6: Final answer
    x = 18,141.42

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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.