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Finding the Fourth Proportional to 14,720.50, 22,082.64 and 5,359.08

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Solution

The fourth proportional to 14,720.50, 22,082.64 and 5,359.08 is: 8,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.50 : 22,082.64 = 5,359.08 : x
  2. Step 2: Convert to fraction form
    14,720.50/22,082.64 = 5,359.08/x
  3. Step 3: Cross multiply
    14,720.50x = 22,082.64 × 5,359.08
  4. Step 4: Simplify right side
    14,720.50x = 118,342,634.37
  5. Step 5: Solve for x
    x = 118,342,634.37/14,720.50
  6. Step 6: Final answer
    x = 8,039.31

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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.