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Finding the Fourth Proportional to 22,636.61, 33,955.35 and 7,846.01

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Solution

The fourth proportional to 22,636.61, 33,955.35 and 7,846.01 is: 11,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.61 : 33,955.35 = 7,846.01 : x
  2. Step 2: Convert to fraction form
    22,636.61/33,955.35 = 7,846.01/x
  3. Step 3: Cross multiply
    22,636.61x = 33,955.35 × 7,846.01
  4. Step 4: Simplify right side
    22,636.61x = 266,414,178.92
  5. Step 5: Solve for x
    x = 266,414,178.92/22,636.61
  6. Step 6: Final answer
    x = 11,769.17

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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.