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Finding the Fourth Proportional to 12,088.32, 18,134.04 and 4,192.32

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Solution

The fourth proportional to 12,088.32, 18,134.04 and 4,192.32 is: 6,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.32 : 18,134.04 = 4,192.32 : x
  2. Step 2: Convert to fraction form
    12,088.32/18,134.04 = 4,192.32/x
  3. Step 3: Cross multiply
    12,088.32x = 18,134.04 × 4,192.32
  4. Step 4: Simplify right side
    12,088.32x = 76,023,698.57
  5. Step 5: Solve for x
    x = 76,023,698.57/12,088.32
  6. Step 6: Final answer
    x = 6,289.02

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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.