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Finding the Fourth Proportional to 16,284.63, 22,472.79 and 9,210.90

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Solution

The fourth proportional to 16,284.63, 22,472.79 and 9,210.90 is: 12,711.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.63 : 22,472.79 = 9,210.90 : x
  2. Step 2: Convert to fraction form
    16,284.63/22,472.79 = 9,210.90/x
  3. Step 3: Cross multiply
    16,284.63x = 22,472.79 × 9,210.90
  4. Step 4: Simplify right side
    16,284.63x = 206,994,509.05
  5. Step 5: Solve for x
    x = 206,994,509.05/16,284.63
  6. Step 6: Final answer
    x = 12,711.04

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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.