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Finding the Fourth Proportional to 21,916.50, 32,874.75 and 7,324.50

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Solution

The fourth proportional to 21,916.50, 32,874.75 and 7,324.50 is: 10,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,916.50 : 32,874.75 = 7,324.50 : x
  2. Step 2: Convert to fraction form
    21,916.50/32,874.75 = 7,324.50/x
  3. Step 3: Cross multiply
    21,916.50x = 32,874.75 × 7,324.50
  4. Step 4: Simplify right side
    21,916.50x = 240,791,106.38
  5. Step 5: Solve for x
    x = 240,791,106.38/21,916.50
  6. Step 6: Final answer
    x = 10,986.75

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1.5x scale

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.