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Finding the Fourth Proportional to 27,815.34, 38,384.36 and 15,239.82

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Solution

The fourth proportional to 27,815.34, 38,384.36 and 15,239.82 is: 21,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,815.34 : 38,384.36 = 15,239.82 : x
  2. Step 2: Convert to fraction form
    27,815.34/38,384.36 = 15,239.82/x
  3. Step 3: Cross multiply
    27,815.34x = 38,384.36 × 15,239.82
  4. Step 4: Simplify right side
    27,815.34x = 584,970,737.22
  5. Step 5: Solve for x
    x = 584,970,737.22/27,815.34
  6. Step 6: Final answer
    x = 21,030.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.