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Finding the Fourth Proportional to 22,205.95, 30,643.84 and 12,134.17

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Solution

The fourth proportional to 22,205.95, 30,643.84 and 12,134.17 is: 16,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.95 : 30,643.84 = 12,134.17 : x
  2. Step 2: Convert to fraction form
    22,205.95/30,643.84 = 12,134.17/x
  3. Step 3: Cross multiply
    22,205.95x = 30,643.84 × 12,134.17
  4. Step 4: Simplify right side
    22,205.95x = 371,837,564.01
  5. Step 5: Solve for x
    x = 371,837,564.01/22,205.95
  6. Step 6: Final answer
    x = 16,744.95

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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.