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Finding the Fourth Proportional to 15,016, 22,524.08 and 4,072

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Solution

The fourth proportional to 15,016, 22,524.08 and 4,072 is: 6,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,016 : 22,524.08 = 4,072 : x
  2. Step 2: Convert to fraction form
    15,016/22,524.08 = 4,072/x
  3. Step 3: Cross multiply
    15,016x = 22,524.08 × 4,072
  4. Step 4: Simplify right side
    15,016x = 91,718,053.76
  5. Step 5: Solve for x
    x = 91,718,053.76/15,016
  6. Step 6: Final answer
    x = 6,108.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.