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Finding the Fourth Proportional to 13,938, 19,213.92 and 8,901.60

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Solution

The fourth proportional to 13,938, 19,213.92 and 8,901.60 is: 12,271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938 : 19,213.92 = 8,901.60 : x
  2. Step 2: Convert to fraction form
    13,938/19,213.92 = 8,901.60/x
  3. Step 3: Cross multiply
    13,938x = 19,213.92 × 8,901.60
  4. Step 4: Simplify right side
    13,938x = 171,034,630.27
  5. Step 5: Solve for x
    x = 171,034,630.27/13,938
  6. Step 6: Final answer
    x = 12,271.10

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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.