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Finding the Fourth Proportional to 27,814.96, 38,384.13 and 15,239.62

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Solution

The fourth proportional to 27,814.96, 38,384.13 and 15,239.62 is: 21,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.96 : 38,384.13 = 15,239.62 : x
  2. Step 2: Convert to fraction form
    27,814.96/38,384.13 = 15,239.62/x
  3. Step 3: Cross multiply
    27,814.96x = 38,384.13 × 15,239.62
  4. Step 4: Simplify right side
    27,814.96x = 584,959,555.23
  5. Step 5: Solve for x
    x = 584,959,555.23/27,814.96
  6. Step 6: Final answer
    x = 21,030.39

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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.