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Finding the Fourth Proportional to 12,811.92, 19,217.16 and 4,492.32

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Solution

The fourth proportional to 12,811.92, 19,217.16 and 4,492.32 is: 6,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.92 : 19,217.16 = 4,492.32 : x
  2. Step 2: Convert to fraction form
    12,811.92/19,217.16 = 4,492.32/x
  3. Step 3: Cross multiply
    12,811.92x = 19,217.16 × 4,492.32
  4. Step 4: Simplify right side
    12,811.92x = 86,329,632.21
  5. Step 5: Solve for x
    x = 86,329,632.21/12,811.92
  6. Step 6: Final answer
    x = 6,738.23

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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.