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Finding the Fourth Proportional to 23,212.96, 34,798.32 and 8,415.52

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Solution

The fourth proportional to 23,212.96, 34,798.32 and 8,415.52 is: 12,615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.96 : 34,798.32 = 8,415.52 : x
  2. Step 2: Convert to fraction form
    23,212.96/34,798.32 = 8,415.52/x
  3. Step 3: Cross multiply
    23,212.96x = 34,798.32 × 8,415.52
  4. Step 4: Simplify right side
    23,212.96x = 292,845,957.93
  5. Step 5: Solve for x
    x = 292,845,957.93/23,212.96
  6. Step 6: Final answer
    x = 12,615.62

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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.