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Finding the Fourth Proportional to 12,347.42, 18,522.12 and 4,027.28

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Solution

The fourth proportional to 12,347.42, 18,522.12 and 4,027.28 is: 6,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.42 : 18,522.12 = 4,027.28 : x
  2. Step 2: Convert to fraction form
    12,347.42/18,522.12 = 4,027.28/x
  3. Step 3: Cross multiply
    12,347.42x = 18,522.12 × 4,027.28
  4. Step 4: Simplify right side
    12,347.42x = 74,593,763.43
  5. Step 5: Solve for x
    x = 74,593,763.43/12,347.42
  6. Step 6: Final answer
    x = 6,041.24

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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.