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Finding the Fourth Proportional to 27,802.44, 38,357.78 and 15,857.16

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Solution

The fourth proportional to 27,802.44, 38,357.78 and 15,857.16 is: 21,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,802.44 : 38,357.78 = 15,857.16 : x
  2. Step 2: Convert to fraction form
    27,802.44/38,357.78 = 15,857.16/x
  3. Step 3: Cross multiply
    27,802.44x = 38,357.78 × 15,857.16
  4. Step 4: Simplify right side
    27,802.44x = 608,245,454.70
  5. Step 5: Solve for x
    x = 608,245,454.70/27,802.44
  6. Step 6: Final answer
    x = 21,877.41

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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.