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Finding the Fourth Proportional to 22,126.48, 30,534.12 and 12,054.80

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Solution

The fourth proportional to 22,126.48, 30,534.12 and 12,054.80 is: 16,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,126.48 : 30,534.12 = 12,054.80 : x
  2. Step 2: Convert to fraction form
    22,126.48/30,534.12 = 12,054.80/x
  3. Step 3: Cross multiply
    22,126.48x = 30,534.12 × 12,054.80
  4. Step 4: Simplify right side
    22,126.48x = 368,082,709.78
  5. Step 5: Solve for x
    x = 368,082,709.78/22,126.48
  6. Step 6: Final answer
    x = 16,635.39

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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.