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Finding the Fourth Proportional to 14,318.53, 21,472.64 and 4,956

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Solution

The fourth proportional to 14,318.53, 21,472.64 and 4,956 is: 7,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318.53 : 21,472.64 = 4,956 : x
  2. Step 2: Convert to fraction form
    14,318.53/21,472.64 = 4,956/x
  3. Step 3: Cross multiply
    14,318.53x = 21,472.64 × 4,956
  4. Step 4: Simplify right side
    14,318.53x = 106,418,391.45
  5. Step 5: Solve for x
    x = 106,418,391.45/14,318.53
  6. Step 6: Final answer
    x = 7,432.22

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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.