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Finding the Fourth Proportional to 22,273.76, 30,740.64 and 12,842.40

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Solution

The fourth proportional to 22,273.76, 30,740.64 and 12,842.40 is: 17,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,273.76 : 30,740.64 = 12,842.40 : x
  2. Step 2: Convert to fraction form
    22,273.76/30,740.64 = 12,842.40/x
  3. Step 3: Cross multiply
    22,273.76x = 30,740.64 × 12,842.40
  4. Step 4: Simplify right side
    22,273.76x = 394,783,595.14
  5. Step 5: Solve for x
    x = 394,783,595.14/22,273.76
  6. Step 6: Final answer
    x = 17,724.16

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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.