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Finding the Fourth Proportional to 27,691.40, 38,214.99 and 15,756.45

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Solution

The fourth proportional to 27,691.40, 38,214.99 and 15,756.45 is: 21,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691.40 : 38,214.99 = 15,756.45 : x
  2. Step 2: Convert to fraction form
    27,691.40/38,214.99 = 15,756.45/x
  3. Step 3: Cross multiply
    27,691.40x = 38,214.99 × 15,756.45
  4. Step 4: Simplify right side
    27,691.40x = 602,132,579.19
  5. Step 5: Solve for x
    x = 602,132,579.19/27,691.40
  6. Step 6: Final answer
    x = 21,744.39

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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.