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Finding the Fourth Proportional to 22,127.08, 33,189.54 and 8,275

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Solution

The fourth proportional to 22,127.08, 33,189.54 and 8,275 is: 12,412.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,127.08 : 33,189.54 = 8,275 : x
  2. Step 2: Convert to fraction form
    22,127.08/33,189.54 = 8,275/x
  3. Step 3: Cross multiply
    22,127.08x = 33,189.54 × 8,275
  4. Step 4: Simplify right side
    22,127.08x = 274,643,443.50
  5. Step 5: Solve for x
    x = 274,643,443.50/22,127.08
  6. Step 6: Final answer
    x = 12,412.10

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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.