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Finding the Fourth Proportional to 22,782.66, 31,441.14 and 13,831.08

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Solution

The fourth proportional to 22,782.66, 31,441.14 and 13,831.08 is: 19,087.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.66 : 31,441.14 = 13,831.08 : x
  2. Step 2: Convert to fraction form
    22,782.66/31,441.14 = 13,831.08/x
  3. Step 3: Cross multiply
    22,782.66x = 31,441.14 × 13,831.08
  4. Step 4: Simplify right side
    22,782.66x = 434,864,922.63
  5. Step 5: Solve for x
    x = 434,864,922.63/22,782.66
  6. Step 6: Final answer
    x = 19,087.54

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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.