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Finding the Fourth Proportional to 21,721.50, 32,604.09 and 14,678.94

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Solution

The fourth proportional to 21,721.50, 32,604.09 and 14,678.94 is: 22,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,721.50 : 32,604.09 = 14,678.94 : x
  2. Step 2: Convert to fraction form
    21,721.50/32,604.09 = 14,678.94/x
  3. Step 3: Cross multiply
    21,721.50x = 32,604.09 × 14,678.94
  4. Step 4: Simplify right side
    21,721.50x = 478,593,480.86
  5. Step 5: Solve for x
    x = 478,593,480.86/21,721.50
  6. Step 6: Final answer
    x = 22,033.17

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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.