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Finding the Fourth Proportional to 23,064.16, 34,610.24 and 9,212

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Solution

The fourth proportional to 23,064.16, 34,610.24 and 9,212 is: 13,823.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,064.16 : 34,610.24 = 9,212 : x
  2. Step 2: Convert to fraction form
    23,064.16/34,610.24 = 9,212/x
  3. Step 3: Cross multiply
    23,064.16x = 34,610.24 × 9,212
  4. Step 4: Simplify right side
    23,064.16x = 318,829,530.88
  5. Step 5: Solve for x
    x = 318,829,530.88/23,064.16
  6. Step 6: Final answer
    x = 13,823.59

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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.