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Finding the Fourth Proportional to 19,905.81, 27,470.22 and 11,407.74

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Solution

The fourth proportional to 19,905.81, 27,470.22 and 11,407.74 is: 15,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,905.81 : 27,470.22 = 11,407.74 : x
  2. Step 2: Convert to fraction form
    19,905.81/27,470.22 = 11,407.74/x
  3. Step 3: Cross multiply
    19,905.81x = 27,470.22 × 11,407.74
  4. Step 4: Simplify right side
    19,905.81x = 313,373,127.50
  5. Step 5: Solve for x
    x = 313,373,127.50/19,905.81
  6. Step 6: Final answer
    x = 15,742.80

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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.