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Finding the Fourth Proportional to 27,588, 38,071.47 and 15,012.78

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Solution

The fourth proportional to 27,588, 38,071.47 and 15,012.78 is: 20,717.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 38,071.47 = 15,012.78 : x
  2. Step 2: Convert to fraction form
    27,588/38,071.47 = 15,012.78/x
  3. Step 3: Cross multiply
    27,588x = 38,071.47 × 15,012.78
  4. Step 4: Simplify right side
    27,588x = 571,558,603.39
  5. Step 5: Solve for x
    x = 571,558,603.39/27,588
  6. Step 6: Final answer
    x = 20,717.65

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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.