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Finding the Fourth Proportional to 13,780.50, 19,016.94 and 7,492.86

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Solution

The fourth proportional to 13,780.50, 19,016.94 and 7,492.86 is: 10,340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.50 : 19,016.94 = 7,492.86 : x
  2. Step 2: Convert to fraction form
    13,780.50/19,016.94 = 7,492.86/x
  3. Step 3: Cross multiply
    13,780.50x = 19,016.94 × 7,492.86
  4. Step 4: Simplify right side
    13,780.50x = 142,491,269.05
  5. Step 5: Solve for x
    x = 142,491,269.05/13,780.50
  6. Step 6: Final answer
    x = 10,340.07

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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.