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Finding the Fourth Proportional to 21,706.08, 32,563.44 and 6,914.52

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Solution

The fourth proportional to 21,706.08, 32,563.44 and 6,914.52 is: 10,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,706.08 : 32,563.44 = 6,914.52 : x
  2. Step 2: Convert to fraction form
    21,706.08/32,563.44 = 6,914.52/x
  3. Step 3: Cross multiply
    21,706.08x = 32,563.44 × 6,914.52
  4. Step 4: Simplify right side
    21,706.08x = 225,160,557.15
  5. Step 5: Solve for x
    x = 225,160,557.15/21,706.08
  6. Step 6: Final answer
    x = 10,373.16

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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.