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Finding the Fourth Proportional to 19,608.16, 29,417.20 and 8,512.16

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Solution

The fourth proportional to 19,608.16, 29,417.20 and 8,512.16 is: 12,770.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.16 : 29,417.20 = 8,512.16 : x
  2. Step 2: Convert to fraction form
    19,608.16/29,417.20 = 8,512.16/x
  3. Step 3: Cross multiply
    19,608.16x = 29,417.20 × 8,512.16
  4. Step 4: Simplify right side
    19,608.16x = 250,403,913.15
  5. Step 5: Solve for x
    x = 250,403,913.15/19,608.16
  6. Step 6: Final answer
    x = 12,770.39

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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.