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Finding the Fourth Proportional to 22,102.14, 30,501.45 and 12,542.66

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Solution

The fourth proportional to 22,102.14, 30,501.45 and 12,542.66 is: 17,309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,102.14 : 30,501.45 = 12,542.66 : x
  2. Step 2: Convert to fraction form
    22,102.14/30,501.45 = 12,542.66/x
  3. Step 3: Cross multiply
    22,102.14x = 30,501.45 × 12,542.66
  4. Step 4: Simplify right side
    22,102.14x = 382,569,164.35
  5. Step 5: Solve for x
    x = 382,569,164.35/22,102.14
  6. Step 6: Final answer
    x = 17,309.15

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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.