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Finding the Fourth Proportional to 23,262.81, 32,102.78 and 13,831.17

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Solution

The fourth proportional to 23,262.81, 32,102.78 and 13,831.17 is: 19,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,262.81 : 32,102.78 = 13,831.17 : x
  2. Step 2: Convert to fraction form
    23,262.81/32,102.78 = 13,831.17/x
  3. Step 3: Cross multiply
    23,262.81x = 32,102.78 × 13,831.17
  4. Step 4: Simplify right side
    23,262.81x = 444,018,938.50
  5. Step 5: Solve for x
    x = 444,018,938.50/23,262.81
  6. Step 6: Final answer
    x = 19,087.07

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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.