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Finding the Fourth Proportional to 22,205.76, 30,643.92 and 12,134.40

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Solution

The fourth proportional to 22,205.76, 30,643.92 and 12,134.40 is: 16,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.76 : 30,643.92 = 12,134.40 : x
  2. Step 2: Convert to fraction form
    22,205.76/30,643.92 = 12,134.40/x
  3. Step 3: Cross multiply
    22,205.76x = 30,643.92 × 12,134.40
  4. Step 4: Simplify right side
    22,205.76x = 371,845,582.85
  5. Step 5: Solve for x
    x = 371,845,582.85/22,205.76
  6. Step 6: Final answer
    x = 16,745.46

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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.