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Finding the Fourth Proportional to 27,802.59, 38,367.74 and 15,227.34

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Solution

The fourth proportional to 27,802.59, 38,367.74 and 15,227.34 is: 21,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.59 : 38,367.74 = 15,227.34 : x
  2. Step 2: Convert to fraction form
    27,802.59/38,367.74 = 15,227.34/x
  3. Step 3: Cross multiply
    27,802.59x = 38,367.74 × 15,227.34
  4. Step 4: Simplify right side
    27,802.59x = 584,238,545.87
  5. Step 5: Solve for x
    x = 584,238,545.87/27,802.59
  6. Step 6: Final answer
    x = 21,013.82

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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.