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Finding the Fourth Proportional to 22,610.08, 31,203.12 and 13,178.08

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Solution

The fourth proportional to 22,610.08, 31,203.12 and 13,178.08 is: 18,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,610.08 : 31,203.12 = 13,178.08 : x
  2. Step 2: Convert to fraction form
    22,610.08/31,203.12 = 13,178.08/x
  3. Step 3: Cross multiply
    22,610.08x = 31,203.12 × 13,178.08
  4. Step 4: Simplify right side
    22,610.08x = 411,197,211.61
  5. Step 5: Solve for x
    x = 411,197,211.61/22,610.08
  6. Step 6: Final answer
    x = 18,186.46

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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.