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Finding the Fourth Proportional to 12,032.96, 18,024.86 and 7,087.64

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Solution

The fourth proportional to 12,032.96, 18,024.86 and 7,087.64 is: 10,616.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.96 : 18,024.86 = 7,087.64 : x
  2. Step 2: Convert to fraction form
    12,032.96/18,024.86 = 7,087.64/x
  3. Step 3: Cross multiply
    12,032.96x = 18,024.86 × 7,087.64
  4. Step 4: Simplify right side
    12,032.96x = 127,753,646.33
  5. Step 5: Solve for x
    x = 127,753,646.33/12,032.96
  6. Step 6: Final answer
    x = 10,616.98

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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.