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Finding the Fourth Proportional to 22,898.69, 31,584.40 and 16,107.11

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Solution

The fourth proportional to 22,898.69, 31,584.40 and 16,107.11 is: 22,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.69 : 31,584.40 = 16,107.11 : x
  2. Step 2: Convert to fraction form
    22,898.69/31,584.40 = 16,107.11/x
  3. Step 3: Cross multiply
    22,898.69x = 31,584.40 × 16,107.11
  4. Step 4: Simplify right side
    22,898.69x = 508,733,405.08
  5. Step 5: Solve for x
    x = 508,733,405.08/22,898.69
  6. Step 6: Final answer
    x = 22,216.70

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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.