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Finding the Fourth Proportional to 21,957.46, 32,916.00 and 7,914.05

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Solution

The fourth proportional to 21,957.46, 32,916.00 and 7,914.05 is: 11,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,957.46 : 32,916.00 = 7,914.05 : x
  2. Step 2: Convert to fraction form
    21,957.46/32,916.00 = 7,914.05/x
  3. Step 3: Cross multiply
    21,957.46x = 32,916.00 × 7,914.05
  4. Step 4: Simplify right side
    21,957.46x = 260,498,858.33
  5. Step 5: Solve for x
    x = 260,498,858.33/21,957.46
  6. Step 6: Final answer
    x = 11,863.80

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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.