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Finding the Fourth Proportional to 22,232.98, 30,681.08 and 12,161.39

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Solution

The fourth proportional to 22,232.98, 30,681.08 and 12,161.39 is: 16,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,232.98 : 30,681.08 = 12,161.39 : x
  2. Step 2: Convert to fraction form
    22,232.98/30,681.08 = 12,161.39/x
  3. Step 3: Cross multiply
    22,232.98x = 30,681.08 × 12,161.39
  4. Step 4: Simplify right side
    22,232.98x = 373,124,426.10
  5. Step 5: Solve for x
    x = 373,124,426.10/22,232.98
  6. Step 6: Final answer
    x = 16,782.48

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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.