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Finding the Fourth Proportional to 16,220.70, 24,339.15 and 9,206.10

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Solution

The fourth proportional to 16,220.70, 24,339.15 and 9,206.10 is: 13,813.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,220.70 : 24,339.15 = 9,206.10 : x
  2. Step 2: Convert to fraction form
    16,220.70/24,339.15 = 9,206.10/x
  3. Step 3: Cross multiply
    16,220.70x = 24,339.15 × 9,206.10
  4. Step 4: Simplify right side
    16,220.70x = 224,068,648.82
  5. Step 5: Solve for x
    x = 224,068,648.82/16,220.70
  6. Step 6: Final answer
    x = 13,813.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.