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Finding the Fourth Proportional to 18,222.84, 27,329.40 and 7,832.16

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Solution

The fourth proportional to 18,222.84, 27,329.40 and 7,832.16 is: 11,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,222.84 : 27,329.40 = 7,832.16 : x
  2. Step 2: Convert to fraction form
    18,222.84/27,329.40 = 7,832.16/x
  3. Step 3: Cross multiply
    18,222.84x = 27,329.40 × 7,832.16
  4. Step 4: Simplify right side
    18,222.84x = 214,048,233.50
  5. Step 5: Solve for x
    x = 214,048,233.50/18,222.84
  6. Step 6: Final answer
    x = 11,746.15

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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.