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Finding the Fourth Proportional to 16,601, 24,903.92 and 6,071.52

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Solution

The fourth proportional to 16,601, 24,903.92 and 6,071.52 is: 9,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,601 : 24,903.92 = 6,071.52 : x
  2. Step 2: Convert to fraction form
    16,601/24,903.92 = 6,071.52/x
  3. Step 3: Cross multiply
    16,601x = 24,903.92 × 6,071.52
  4. Step 4: Simplify right side
    16,601x = 151,204,648.36
  5. Step 5: Solve for x
    x = 151,204,648.36/16,601
  6. Step 6: Final answer
    x = 9,108.17

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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.