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Finding the Fourth Proportional to 22,581, 33,875.28 and 6,995.52

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Solution

The fourth proportional to 22,581, 33,875.28 and 6,995.52 is: 10,494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,581 : 33,875.28 = 6,995.52 : x
  2. Step 2: Convert to fraction form
    22,581/33,875.28 = 6,995.52/x
  3. Step 3: Cross multiply
    22,581x = 33,875.28 × 6,995.52
  4. Step 4: Simplify right side
    22,581x = 236,975,198.75
  5. Step 5: Solve for x
    x = 236,975,198.75/22,581
  6. Step 6: Final answer
    x = 10,494.45

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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.