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Finding the Fourth Proportional to 27,484, 41,224.08 and 14,343.76

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Solution

The fourth proportional to 27,484, 41,224.08 and 14,343.76 is: 21,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,484 : 41,224.08 = 14,343.76 : x
  2. Step 2: Convert to fraction form
    27,484/41,224.08 = 14,343.76/x
  3. Step 3: Cross multiply
    27,484x = 41,224.08 × 14,343.76
  4. Step 4: Simplify right side
    27,484x = 591,308,309.74
  5. Step 5: Solve for x
    x = 591,308,309.74/27,484
  6. Step 6: Final answer
    x = 21,514.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.