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Finding the Fourth Proportional to 16,220.18, 22,384.02 and 9,146.60

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Solution

The fourth proportional to 16,220.18, 22,384.02 and 9,146.60 is: 12,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.18 : 22,384.02 = 9,146.60 : x
  2. Step 2: Convert to fraction form
    16,220.18/22,384.02 = 9,146.60/x
  3. Step 3: Cross multiply
    16,220.18x = 22,384.02 × 9,146.60
  4. Step 4: Simplify right side
    16,220.18x = 204,737,565.41
  5. Step 5: Solve for x
    x = 204,737,565.41/16,220.18
  6. Step 6: Final answer
    x = 12,622.40

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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.