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Finding the Fourth Proportional to 11,257.86, 15,524.16 and 9,669.75

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Solution

The fourth proportional to 11,257.86, 15,524.16 and 9,669.75 is: 13,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,257.86 : 15,524.16 = 9,669.75 : x
  2. Step 2: Convert to fraction form
    11,257.86/15,524.16 = 9,669.75/x
  3. Step 3: Cross multiply
    11,257.86x = 15,524.16 × 9,669.75
  4. Step 4: Simplify right side
    11,257.86x = 150,114,746.16
  5. Step 5: Solve for x
    x = 150,114,746.16/11,257.86
  6. Step 6: Final answer
    x = 13,334.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.