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Finding the Fourth Proportional to 14,591.72, 21,889.74 and 5,357

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Solution

The fourth proportional to 14,591.72, 21,889.74 and 5,357 is: 8,036.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.72 : 21,889.74 = 5,357 : x
  2. Step 2: Convert to fraction form
    14,591.72/21,889.74 = 5,357/x
  3. Step 3: Cross multiply
    14,591.72x = 21,889.74 × 5,357
  4. Step 4: Simplify right side
    14,591.72x = 117,263,337.18
  5. Step 5: Solve for x
    x = 117,263,337.18/14,591.72
  6. Step 6: Final answer
    x = 8,036.29

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