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Finding the Fourth Proportional to 21,706.19, 32,559.20 and 6,916.31

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Solution

The fourth proportional to 21,706.19, 32,559.20 and 6,916.31 is: 10,374.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.19 : 32,559.20 = 6,916.31 : x
  2. Step 2: Convert to fraction form
    21,706.19/32,559.20 = 6,916.31/x
  3. Step 3: Cross multiply
    21,706.19x = 32,559.20 × 6,916.31
  4. Step 4: Simplify right side
    21,706.19x = 225,189,520.55
  5. Step 5: Solve for x
    x = 225,189,520.55/21,706.19
  6. Step 6: Final answer
    x = 10,374.44

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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.