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Finding the Fourth Proportional to 15,231.78, 22,854.48 and 9,683.64

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Solution

The fourth proportional to 15,231.78, 22,854.48 and 9,683.64 is: 14,529.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,231.78 : 22,854.48 = 9,683.64 : x
  2. Step 2: Convert to fraction form
    15,231.78/22,854.48 = 9,683.64/x
  3. Step 3: Cross multiply
    15,231.78x = 22,854.48 × 9,683.64
  4. Step 4: Simplify right side
    15,231.78x = 221,314,556.71
  5. Step 5: Solve for x
    x = 221,314,556.71/15,231.78
  6. Step 6: Final answer
    x = 14,529.79

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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.