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Finding the Fourth Proportional to 21,649.50, 32,306.72 and 19,316.70

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Solution

The fourth proportional to 21,649.50, 32,306.72 and 19,316.70 is: 28,825.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.50 : 32,306.72 = 19,316.70 : x
  2. Step 2: Convert to fraction form
    21,649.50/32,306.72 = 19,316.70/x
  3. Step 3: Cross multiply
    21,649.50x = 32,306.72 × 19,316.70
  4. Step 4: Simplify right side
    21,649.50x = 624,059,121.64
  5. Step 5: Solve for x
    x = 624,059,121.64/21,649.50
  6. Step 6: Final answer
    x = 28,825.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.