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Finding the Fourth Proportional to 20,657.52, 28,507.82 and 12,274.02

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Solution

The fourth proportional to 20,657.52, 28,507.82 and 12,274.02 is: 16,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.52 : 28,507.82 = 12,274.02 : x
  2. Step 2: Convert to fraction form
    20,657.52/28,507.82 = 12,274.02/x
  3. Step 3: Cross multiply
    20,657.52x = 28,507.82 × 12,274.02
  4. Step 4: Simplify right side
    20,657.52x = 349,905,491.47
  5. Step 5: Solve for x
    x = 349,905,491.47/20,657.52
  6. Step 6: Final answer
    x = 16,938.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.