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Finding the Fourth Proportional to 13,232.25, 19,853.55 and 5,831.51

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Solution

The fourth proportional to 13,232.25, 19,853.55 and 5,831.51 is: 8,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.25 : 19,853.55 = 5,831.51 : x
  2. Step 2: Convert to fraction form
    13,232.25/19,853.55 = 5,831.51/x
  3. Step 3: Cross multiply
    13,232.25x = 19,853.55 × 5,831.51
  4. Step 4: Simplify right side
    13,232.25x = 115,776,076.09
  5. Step 5: Solve for x
    x = 115,776,076.09/13,232.25
  6. Step 6: Final answer
    x = 8,749.54

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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.