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Finding the Fourth Proportional to 27,006.84, 37,277.26 and 15,678.88

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Solution

The fourth proportional to 27,006.84, 37,277.26 and 15,678.88 is: 21,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.84 : 37,277.26 = 15,678.88 : x
  2. Step 2: Convert to fraction form
    27,006.84/37,277.26 = 15,678.88/x
  3. Step 3: Cross multiply
    27,006.84x = 37,277.26 × 15,678.88
  4. Step 4: Simplify right side
    27,006.84x = 584,465,686.27
  5. Step 5: Solve for x
    x = 584,465,686.27/27,006.84
  6. Step 6: Final answer
    x = 21,641.39

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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.