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Finding the Fourth Proportional to 15,233.78, 22,857.48 and 9,685.64

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Solution

The fourth proportional to 15,233.78, 22,857.48 and 9,685.64 is: 14,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.78 : 22,857.48 = 9,685.64 : x
  2. Step 2: Convert to fraction form
    15,233.78/22,857.48 = 9,685.64/x
  3. Step 3: Cross multiply
    15,233.78x = 22,857.48 × 9,685.64
  4. Step 4: Simplify right side
    15,233.78x = 221,389,322.59
  5. Step 5: Solve for x
    x = 221,389,322.59/15,233.78
  6. Step 6: Final answer
    x = 14,532.79

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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.