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Finding the Fourth Proportional to 22,624.99, 31,240.83 and 14,137

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Solution

The fourth proportional to 22,624.99, 31,240.83 and 14,137 is: 19,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.99 : 31,240.83 = 14,137 : x
  2. Step 2: Convert to fraction form
    22,624.99/31,240.83 = 14,137/x
  3. Step 3: Cross multiply
    22,624.99x = 31,240.83 × 14,137
  4. Step 4: Simplify right side
    22,624.99x = 441,651,613.71
  5. Step 5: Solve for x
    x = 441,651,613.71/22,624.99
  6. Step 6: Final answer
    x = 19,520.52

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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.