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Finding the Fourth Proportional to 27,802.53, 38,367.95 and 15,226.47

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Solution

The fourth proportional to 27,802.53, 38,367.95 and 15,226.47 is: 21,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.53 : 38,367.95 = 15,226.47 : x
  2. Step 2: Convert to fraction form
    27,802.53/38,367.95 = 15,226.47/x
  3. Step 3: Cross multiply
    27,802.53x = 38,367.95 × 15,226.47
  4. Step 4: Simplify right side
    27,802.53x = 584,208,363.50
  5. Step 5: Solve for x
    x = 584,208,363.50/27,802.53
  6. Step 6: Final answer
    x = 21,012.78

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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.