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Finding the Fourth Proportional to 14,644.92, 21,948.54 and 9,377.91

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Solution

The fourth proportional to 14,644.92, 21,948.54 and 9,377.91 is: 14,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.92 : 21,948.54 = 9,377.91 : x
  2. Step 2: Convert to fraction form
    14,644.92/21,948.54 = 9,377.91/x
  3. Step 3: Cross multiply
    14,644.92x = 21,948.54 × 9,377.91
  4. Step 4: Simplify right side
    14,644.92x = 205,831,432.75
  5. Step 5: Solve for x
    x = 205,831,432.75/14,644.92
  6. Step 6: Final answer
    x = 14,054.80

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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.