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Finding the Fourth Proportional to 27,795, 38,357.10 and 15,219.84

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Solution

The fourth proportional to 27,795, 38,357.10 and 15,219.84 is: 21,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,795 : 38,357.10 = 15,219.84 : x
  2. Step 2: Convert to fraction form
    27,795/38,357.10 = 15,219.84/x
  3. Step 3: Cross multiply
    27,795x = 38,357.10 × 15,219.84
  4. Step 4: Simplify right side
    27,795x = 583,788,924.86
  5. Step 5: Solve for x
    x = 583,788,924.86/27,795
  6. Step 6: Final answer
    x = 21,003.38

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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.