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Finding the Fourth Proportional to 23,223.84, 34,831.60 and 6,804

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Solution

The fourth proportional to 23,223.84, 34,831.60 and 6,804 is: 10,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.84 : 34,831.60 = 6,804 : x
  2. Step 2: Convert to fraction form
    23,223.84/34,831.60 = 6,804/x
  3. Step 3: Cross multiply
    23,223.84x = 34,831.60 × 6,804
  4. Step 4: Simplify right side
    23,223.84x = 236,994,206.40
  5. Step 5: Solve for x
    x = 236,994,206.40/23,223.84
  6. Step 6: Final answer
    x = 10,204.78

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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.