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Finding the Fourth Proportional to 19,784.51, 27,302.52 and 10,831.85

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Solution

The fourth proportional to 19,784.51, 27,302.52 and 10,831.85 is: 14,947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,784.51 : 27,302.52 = 10,831.85 : x
  2. Step 2: Convert to fraction form
    19,784.51/27,302.52 = 10,831.85/x
  3. Step 3: Cross multiply
    19,784.51x = 27,302.52 × 10,831.85
  4. Step 4: Simplify right side
    19,784.51x = 295,736,610.59
  5. Step 5: Solve for x
    x = 295,736,610.59/19,784.51
  6. Step 6: Final answer
    x = 14,947.89

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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.