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Finding the Fourth Proportional to 22,045.72, 33,070.92 and 8,896

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Solution

The fourth proportional to 22,045.72, 33,070.92 and 8,896 is: 13,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,045.72 : 33,070.92 = 8,896 : x
  2. Step 2: Convert to fraction form
    22,045.72/33,070.92 = 8,896/x
  3. Step 3: Cross multiply
    22,045.72x = 33,070.92 × 8,896
  4. Step 4: Simplify right side
    22,045.72x = 294,198,904.32
  5. Step 5: Solve for x
    x = 294,198,904.32/22,045.72
  6. Step 6: Final answer
    x = 13,344.94

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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.