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Finding the Fourth Proportional to 12,617.52, 18,924.88 and 5,597.64

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Solution

The fourth proportional to 12,617.52, 18,924.88 and 5,597.64 is: 8,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.52 : 18,924.88 = 5,597.64 : x
  2. Step 2: Convert to fraction form
    12,617.52/18,924.88 = 5,597.64/x
  3. Step 3: Cross multiply
    12,617.52x = 18,924.88 × 5,597.64
  4. Step 4: Simplify right side
    12,617.52x = 105,934,665.28
  5. Step 5: Solve for x
    x = 105,934,665.28/12,617.52
  6. Step 6: Final answer
    x = 8,395.84

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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.