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Finding the Fourth Proportional to 23,156.69, 31,944.78 and 14,660.19

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Solution

The fourth proportional to 23,156.69, 31,944.78 and 14,660.19 is: 20,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.69 : 31,944.78 = 14,660.19 : x
  2. Step 2: Convert to fraction form
    23,156.69/31,944.78 = 14,660.19/x
  3. Step 3: Cross multiply
    23,156.69x = 31,944.78 × 14,660.19
  4. Step 4: Simplify right side
    23,156.69x = 468,316,544.31
  5. Step 5: Solve for x
    x = 468,316,544.31/23,156.69
  6. Step 6: Final answer
    x = 20,223.82

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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.