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Finding the Fourth Proportional to 21,864.84, 32,802.03 and 8,013.84

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Solution

The fourth proportional to 21,864.84, 32,802.03 and 8,013.84 is: 12,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.84 : 32,802.03 = 8,013.84 : x
  2. Step 2: Convert to fraction form
    21,864.84/32,802.03 = 8,013.84/x
  3. Step 3: Cross multiply
    21,864.84x = 32,802.03 × 8,013.84
  4. Step 4: Simplify right side
    21,864.84x = 262,870,220.10
  5. Step 5: Solve for x
    x = 262,870,220.10/21,864.84
  6. Step 6: Final answer
    x = 12,022.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.