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Finding the Fourth Proportional to 17,881.49, 24,672.80 and 9,922.03

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Solution

The fourth proportional to 17,881.49, 24,672.80 and 9,922.03 is: 13,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,881.49 : 24,672.80 = 9,922.03 : x
  2. Step 2: Convert to fraction form
    17,881.49/24,672.80 = 9,922.03/x
  3. Step 3: Cross multiply
    17,881.49x = 24,672.80 × 9,922.03
  4. Step 4: Simplify right side
    17,881.49x = 244,804,224.91
  5. Step 5: Solve for x
    x = 244,804,224.91/17,881.49
  6. Step 6: Final answer
    x = 13,690.37

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1.5x scale

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.