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Finding the Fourth Proportional to 22,969.56, 31,656.22 and 17,931.16

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Solution

The fourth proportional to 22,969.56, 31,656.22 and 17,931.16 is: 24,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.56 : 31,656.22 = 17,931.16 : x
  2. Step 2: Convert to fraction form
    22,969.56/31,656.22 = 17,931.16/x
  3. Step 3: Cross multiply
    22,969.56x = 31,656.22 × 17,931.16
  4. Step 4: Simplify right side
    22,969.56x = 567,632,745.82
  5. Step 5: Solve for x
    x = 567,632,745.82/22,969.56
  6. Step 6: Final answer
    x = 24,712.39

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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.