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Finding the Fourth Proportional to 19,783.60, 27,302.01 and 10,831.48

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Solution

The fourth proportional to 19,783.60, 27,302.01 and 10,831.48 is: 14,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.60 : 27,302.01 = 10,831.48 : x
  2. Step 2: Convert to fraction form
    19,783.60/27,302.01 = 10,831.48/x
  3. Step 3: Cross multiply
    19,783.60x = 27,302.01 × 10,831.48
  4. Step 4: Simplify right side
    19,783.60x = 295,721,175.27
  5. Step 5: Solve for x
    x = 295,721,175.27/19,783.60
  6. Step 6: Final answer
    x = 14,947.79

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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.