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Finding the Fourth Proportional to 13,785.25, 19,023.74 and 7,497.67

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Solution

The fourth proportional to 13,785.25, 19,023.74 and 7,497.67 is: 10,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.25 : 19,023.74 = 7,497.67 : x
  2. Step 2: Convert to fraction form
    13,785.25/19,023.74 = 7,497.67/x
  3. Step 3: Cross multiply
    13,785.25x = 19,023.74 × 7,497.67
  4. Step 4: Simplify right side
    13,785.25x = 142,633,687.20
  5. Step 5: Solve for x
    x = 142,633,687.20/13,785.25
  6. Step 6: Final answer
    x = 10,346.83

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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.