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Finding the Fourth Proportional to 15,737.81, 21,715.65 and 9,022.23

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Solution

The fourth proportional to 15,737.81, 21,715.65 and 9,022.23 is: 12,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.81 : 21,715.65 = 9,022.23 : x
  2. Step 2: Convert to fraction form
    15,737.81/21,715.65 = 9,022.23/x
  3. Step 3: Cross multiply
    15,737.81x = 21,715.65 × 9,022.23
  4. Step 4: Simplify right side
    15,737.81x = 195,923,588.90
  5. Step 5: Solve for x
    x = 195,923,588.90/15,737.81
  6. Step 6: Final answer
    x = 12,449.23

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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.