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Finding the Fourth Proportional to 22,431.64, 33,646.14 and 6,848.04

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Solution

The fourth proportional to 22,431.64, 33,646.14 and 6,848.04 is: 10,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.64 : 33,646.14 = 6,848.04 : x
  2. Step 2: Convert to fraction form
    22,431.64/33,646.14 = 6,848.04/x
  3. Step 3: Cross multiply
    22,431.64x = 33,646.14 × 6,848.04
  4. Step 4: Simplify right side
    22,431.64x = 230,410,112.57
  5. Step 5: Solve for x
    x = 230,410,112.57/22,431.64
  6. Step 6: Final answer
    x = 10,271.66

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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.