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Finding the Fourth Proportional to 20,132.78, 27,783.50 and 11,181.13

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Solution

The fourth proportional to 20,132.78, 27,783.50 and 11,181.13 is: 15,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.78 : 27,783.50 = 11,181.13 : x
  2. Step 2: Convert to fraction form
    20,132.78/27,783.50 = 11,181.13/x
  3. Step 3: Cross multiply
    20,132.78x = 27,783.50 × 11,181.13
  4. Step 4: Simplify right side
    20,132.78x = 310,650,925.36
  5. Step 5: Solve for x
    x = 310,650,925.36/20,132.78
  6. Step 6: Final answer
    x = 15,430.11

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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.