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Finding the Fourth Proportional to 13,015.69, 19,523.53 and 5,224.50

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Solution

The fourth proportional to 13,015.69, 19,523.53 and 5,224.50 is: 7,836.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 19,523.53 = 5,224.50 : x
  2. Step 2: Convert to fraction form
    13,015.69/19,523.53 = 5,224.50/x
  3. Step 3: Cross multiply
    13,015.69x = 19,523.53 × 5,224.50
  4. Step 4: Simplify right side
    13,015.69x = 102,000,689.02
  5. Step 5: Solve for x
    x = 102,000,689.02/13,015.69
  6. Step 6: Final answer
    x = 7,836.75

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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.