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Finding the Fourth Proportional to 22,491.16, 31,037.80 and 14,107.66

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Solution

The fourth proportional to 22,491.16, 31,037.80 and 14,107.66 is: 19,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,491.16 : 31,037.80 = 14,107.66 : x
  2. Step 2: Convert to fraction form
    22,491.16/31,037.80 = 14,107.66/x
  3. Step 3: Cross multiply
    22,491.16x = 31,037.80 × 14,107.66
  4. Step 4: Simplify right side
    22,491.16x = 437,870,729.55
  5. Step 5: Solve for x
    x = 437,870,729.55/22,491.16
  6. Step 6: Final answer
    x = 19,468.57

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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.