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Finding the Fourth Proportional to 20,030.78, 27,641.78 and 11,078.25

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Solution

The fourth proportional to 20,030.78, 27,641.78 and 11,078.25 is: 15,287.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,030.78 : 27,641.78 = 11,078.25 : x
  2. Step 2: Convert to fraction form
    20,030.78/27,641.78 = 11,078.25/x
  3. Step 3: Cross multiply
    20,030.78x = 27,641.78 × 11,078.25
  4. Step 4: Simplify right side
    20,030.78x = 306,222,549.29
  5. Step 5: Solve for x
    x = 306,222,549.29/20,030.78
  6. Step 6: Final answer
    x = 15,287.60

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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.