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Finding the Fourth Proportional to 27,181.38, 40,783.86 and 14,710.20

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Solution

The fourth proportional to 27,181.38, 40,783.86 and 14,710.20 is: 22,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,181.38 : 40,783.86 = 14,710.20 : x
  2. Step 2: Convert to fraction form
    27,181.38/40,783.86 = 14,710.20/x
  3. Step 3: Cross multiply
    27,181.38x = 40,783.86 × 14,710.20
  4. Step 4: Simplify right side
    27,181.38x = 599,938,737.37
  5. Step 5: Solve for x
    x = 599,938,737.37/27,181.38
  6. Step 6: Final answer
    x = 22,071.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.