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Finding the Fourth Proportional to 17,614.44, 24,307.38 and 9,656.37

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Solution

The fourth proportional to 17,614.44, 24,307.38 and 9,656.37 is: 13,325.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.44 : 24,307.38 = 9,656.37 : x
  2. Step 2: Convert to fraction form
    17,614.44/24,307.38 = 9,656.37/x
  3. Step 3: Cross multiply
    17,614.44x = 24,307.38 × 9,656.37
  4. Step 4: Simplify right side
    17,614.44x = 234,721,055.01
  5. Step 5: Solve for x
    x = 234,721,055.01/17,614.44
  6. Step 6: Final answer
    x = 13,325.49

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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.