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Finding the Fourth Proportional to 27,605.76, 38,094.76 and 15,668.88

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Solution

The fourth proportional to 27,605.76, 38,094.76 and 15,668.88 is: 21,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,605.76 : 38,094.76 = 15,668.88 : x
  2. Step 2: Convert to fraction form
    27,605.76/38,094.76 = 15,668.88/x
  3. Step 3: Cross multiply
    27,605.76x = 38,094.76 × 15,668.88
  4. Step 4: Simplify right side
    27,605.76x = 596,902,223.07
  5. Step 5: Solve for x
    x = 596,902,223.07/27,605.76
  6. Step 6: Final answer
    x = 21,622.38

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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.