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Finding the Fourth Proportional to 22,205.12, 30,643.80 and 12,774.56

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Solution

The fourth proportional to 22,205.12, 30,643.80 and 12,774.56 is: 17,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.12 : 30,643.80 = 12,774.56 : x
  2. Step 2: Convert to fraction form
    22,205.12/30,643.80 = 12,774.56/x
  3. Step 3: Cross multiply
    22,205.12x = 30,643.80 × 12,774.56
  4. Step 4: Simplify right side
    22,205.12x = 391,461,061.73
  5. Step 5: Solve for x
    x = 391,461,061.73/22,205.12
  6. Step 6: Final answer
    x = 17,629.32

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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.