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Finding the Fourth Proportional to 21,701.53, 32,552.30 and 6,914.98

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Solution

The fourth proportional to 21,701.53, 32,552.30 and 6,914.98 is: 10,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.53 : 32,552.30 = 6,914.98 : x
  2. Step 2: Convert to fraction form
    21,701.53/32,552.30 = 6,914.98/x
  3. Step 3: Cross multiply
    21,701.53x = 32,552.30 × 6,914.98
  4. Step 4: Simplify right side
    21,701.53x = 225,098,503.45
  5. Step 5: Solve for x
    x = 225,098,503.45/21,701.53
  6. Step 6: Final answer
    x = 10,372.47

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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.