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Finding the Fourth Proportional to 22,472.64, 33,708.96 and 10,152

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Solution

The fourth proportional to 22,472.64, 33,708.96 and 10,152 is: 15,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.64 : 33,708.96 = 10,152 : x
  2. Step 2: Convert to fraction form
    22,472.64/33,708.96 = 10,152/x
  3. Step 3: Cross multiply
    22,472.64x = 33,708.96 × 10,152
  4. Step 4: Simplify right side
    22,472.64x = 342,213,361.92
  5. Step 5: Solve for x
    x = 342,213,361.92/22,472.64
  6. Step 6: Final answer
    x = 15,228.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.