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Finding the Fourth Proportional to 27,996.65, 38,635.38 and 15,421.40

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Solution

The fourth proportional to 27,996.65, 38,635.38 and 15,421.40 is: 21,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.65 : 38,635.38 = 15,421.40 : x
  2. Step 2: Convert to fraction form
    27,996.65/38,635.38 = 15,421.40/x
  3. Step 3: Cross multiply
    27,996.65x = 38,635.38 × 15,421.40
  4. Step 4: Simplify right side
    27,996.65x = 595,811,649.13
  5. Step 5: Solve for x
    x = 595,811,649.13/27,996.65
  6. Step 6: Final answer
    x = 21,281.53

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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.