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Finding the Fourth Proportional to 27,969.84, 38,598.39 and 15,394.50

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Solution

The fourth proportional to 27,969.84, 38,598.39 and 15,394.50 is: 21,244.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,969.84 : 38,598.39 = 15,394.50 : x
  2. Step 2: Convert to fraction form
    27,969.84/38,598.39 = 15,394.50/x
  3. Step 3: Cross multiply
    27,969.84x = 38,598.39 × 15,394.50
  4. Step 4: Simplify right side
    27,969.84x = 594,202,914.86
  5. Step 5: Solve for x
    x = 594,202,914.86/27,969.84
  6. Step 6: Final answer
    x = 21,244.42

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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.