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Finding the Fourth Proportional to 27,746.78, 38,289.42 and 15,809.10

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Solution

The fourth proportional to 27,746.78, 38,289.42 and 15,809.10 is: 21,815.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,746.78 : 38,289.42 = 15,809.10 : x
  2. Step 2: Convert to fraction form
    27,746.78/38,289.42 = 15,809.10/x
  3. Step 3: Cross multiply
    27,746.78x = 38,289.42 × 15,809.10
  4. Step 4: Simplify right side
    27,746.78x = 605,321,269.72
  5. Step 5: Solve for x
    x = 605,321,269.72/27,746.78
  6. Step 6: Final answer
    x = 21,815.91

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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.