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Finding the Fourth Proportional to 27,606.88, 38,096.64 and 15,670

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Solution

The fourth proportional to 27,606.88, 38,096.64 and 15,670 is: 21,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,606.88 : 38,096.64 = 15,670 : x
  2. Step 2: Convert to fraction form
    27,606.88/38,096.64 = 15,670/x
  3. Step 3: Cross multiply
    27,606.88x = 38,096.64 × 15,670
  4. Step 4: Simplify right side
    27,606.88x = 596,974,348.80
  5. Step 5: Solve for x
    x = 596,974,348.80/27,606.88
  6. Step 6: Final answer
    x = 21,624.12

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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.