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Finding the Fourth Proportional to 12,596.64, 18,882.62 and 4,693.35

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Solution

The fourth proportional to 12,596.64, 18,882.62 and 4,693.35 is: 7,035.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.64 : 18,882.62 = 4,693.35 : x
  2. Step 2: Convert to fraction form
    12,596.64/18,882.62 = 4,693.35/x
  3. Step 3: Cross multiply
    12,596.64x = 18,882.62 × 4,693.35
  4. Step 4: Simplify right side
    12,596.64x = 88,622,744.58
  5. Step 5: Solve for x
    x = 88,622,744.58/12,596.64
  6. Step 6: Final answer
    x = 7,035.43

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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.