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Finding the Fourth Proportional to 14,906, 22,360.62 and 5,672

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Solution

The fourth proportional to 14,906, 22,360.62 and 5,672 is: 8,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906 : 22,360.62 = 5,672 : x
  2. Step 2: Convert to fraction form
    14,906/22,360.62 = 5,672/x
  3. Step 3: Cross multiply
    14,906x = 22,360.62 × 5,672
  4. Step 4: Simplify right side
    14,906x = 126,829,436.64
  5. Step 5: Solve for x
    x = 126,829,436.64/14,906
  6. Step 6: Final answer
    x = 8,508.62

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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.