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Finding the Fourth Proportional to 15,116, 20,861.52 and 8,492

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Solution

The fourth proportional to 15,116, 20,861.52 and 8,492 is: 11,719.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116 : 20,861.52 = 8,492 : x
  2. Step 2: Convert to fraction form
    15,116/20,861.52 = 8,492/x
  3. Step 3: Cross multiply
    15,116x = 20,861.52 × 8,492
  4. Step 4: Simplify right side
    15,116x = 177,156,027.84
  5. Step 5: Solve for x
    x = 177,156,027.84/15,116
  6. Step 6: Final answer
    x = 11,719.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.