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Finding the Fourth Proportional to 23,556.64, 35,308.65 and 10,214.23

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Solution

The fourth proportional to 23,556.64, 35,308.65 and 10,214.23 is: 15,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,556.64 : 35,308.65 = 10,214.23 : x
  2. Step 2: Convert to fraction form
    23,556.64/35,308.65 = 10,214.23/x
  3. Step 3: Cross multiply
    23,556.64x = 35,308.65 × 10,214.23
  4. Step 4: Simplify right side
    23,556.64x = 360,650,672.09
  5. Step 5: Solve for x
    x = 360,650,672.09/23,556.64
  6. Step 6: Final answer
    x = 15,309.94

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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.