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Finding the Fourth Proportional to 23,145.81, 31,954.99 and 14,655.21

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Solution

The fourth proportional to 23,145.81, 31,954.99 and 14,655.21 is: 20,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.81 : 31,954.99 = 14,655.21 : x
  2. Step 2: Convert to fraction form
    23,145.81/31,954.99 = 14,655.21/x
  3. Step 3: Cross multiply
    23,145.81x = 31,954.99 × 14,655.21
  4. Step 4: Simplify right side
    23,145.81x = 468,307,098.54
  5. Step 5: Solve for x
    x = 468,307,098.54/23,145.81
  6. Step 6: Final answer
    x = 20,232.91

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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.