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Finding the Fourth Proportional to 13,191.76, 19,765.72 and 9,287.96

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Solution

The fourth proportional to 13,191.76, 19,765.72 and 9,287.96 is: 13,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,191.76 : 19,765.72 = 9,287.96 : x
  2. Step 2: Convert to fraction form
    13,191.76/19,765.72 = 9,287.96/x
  3. Step 3: Cross multiply
    13,191.76x = 19,765.72 × 9,287.96
  4. Step 4: Simplify right side
    13,191.76x = 183,583,216.73
  5. Step 5: Solve for x
    x = 183,583,216.73/13,191.76
  6. Step 6: Final answer
    x = 13,916.51

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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.