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Finding the Fourth Proportional to 12,019.32, 18,038.28 and 8,347.32

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Solution

The fourth proportional to 12,019.32, 18,038.28 and 8,347.32 is: 12,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.32 : 18,038.28 = 8,347.32 : x
  2. Step 2: Convert to fraction form
    12,019.32/18,038.28 = 8,347.32/x
  3. Step 3: Cross multiply
    12,019.32x = 18,038.28 × 8,347.32
  4. Step 4: Simplify right side
    12,019.32x = 150,571,295.41
  5. Step 5: Solve for x
    x = 150,571,295.41/12,019.32
  6. Step 6: Final answer
    x = 12,527.44

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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.