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Finding the Fourth Proportional to 15,109.36, 22,656.25 and 6,782.24

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Solution

The fourth proportional to 15,109.36, 22,656.25 and 6,782.24 is: 10,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.36 : 22,656.25 = 6,782.24 : x
  2. Step 2: Convert to fraction form
    15,109.36/22,656.25 = 6,782.24/x
  3. Step 3: Cross multiply
    15,109.36x = 22,656.25 × 6,782.24
  4. Step 4: Simplify right side
    15,109.36x = 153,660,125
  5. Step 5: Solve for x
    x = 153,660,125/15,109.36
  6. Step 6: Final answer
    x = 10,169.86

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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.