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Finding the Fourth Proportional to 21,065.98, 29,071.03 and 11,634.54

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Solution

The fourth proportional to 21,065.98, 29,071.03 and 11,634.54 is: 16,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.98 : 29,071.03 = 11,634.54 : x
  2. Step 2: Convert to fraction form
    21,065.98/29,071.03 = 11,634.54/x
  3. Step 3: Cross multiply
    21,065.98x = 29,071.03 × 11,634.54
  4. Step 4: Simplify right side
    21,065.98x = 338,228,061.38
  5. Step 5: Solve for x
    x = 338,228,061.38/21,065.98
  6. Step 6: Final answer
    x = 16,055.65

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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.