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Finding the Fourth Proportional to 22,142.08, 30,556 and 12,206.08

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Solution

The fourth proportional to 22,142.08, 30,556 and 12,206.08 is: 16,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,142.08 : 30,556 = 12,206.08 : x
  2. Step 2: Convert to fraction form
    22,142.08/30,556 = 12,206.08/x
  3. Step 3: Cross multiply
    22,142.08x = 30,556 × 12,206.08
  4. Step 4: Simplify right side
    22,142.08x = 372,968,980.48
  5. Step 5: Solve for x
    x = 372,968,980.48/22,142.08
  6. Step 6: Final answer
    x = 16,844.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.