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Finding the Fourth Proportional to 13,095.68, 19,644.32 and 6,515.24

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Solution

The fourth proportional to 13,095.68, 19,644.32 and 6,515.24 is: 9,773.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,095.68 : 19,644.32 = 6,515.24 : x
  2. Step 2: Convert to fraction form
    13,095.68/19,644.32 = 6,515.24/x
  3. Step 3: Cross multiply
    13,095.68x = 19,644.32 × 6,515.24
  4. Step 4: Simplify right side
    13,095.68x = 127,987,377.50
  5. Step 5: Solve for x
    x = 127,987,377.50/13,095.68
  6. Step 6: Final answer
    x = 9,773.26

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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.