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Finding the Fourth Proportional to 12,347.64, 18,522.30 and 5,230.61

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Solution

The fourth proportional to 12,347.64, 18,522.30 and 5,230.61 is: 7,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.64 : 18,522.30 = 5,230.61 : x
  2. Step 2: Convert to fraction form
    12,347.64/18,522.30 = 5,230.61/x
  3. Step 3: Cross multiply
    12,347.64x = 18,522.30 × 5,230.61
  4. Step 4: Simplify right side
    12,347.64x = 96,882,924.06
  5. Step 5: Solve for x
    x = 96,882,924.06/12,347.64
  6. Step 6: Final answer
    x = 7,846.27

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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.