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Finding the Fourth Proportional to 13,695.24, 20,544.93 and 4,332.14

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Solution

The fourth proportional to 13,695.24, 20,544.93 and 4,332.14 is: 6,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.24 : 20,544.93 = 4,332.14 : x
  2. Step 2: Convert to fraction form
    13,695.24/20,544.93 = 4,332.14/x
  3. Step 3: Cross multiply
    13,695.24x = 20,544.93 × 4,332.14
  4. Step 4: Simplify right side
    13,695.24x = 89,003,410.33
  5. Step 5: Solve for x
    x = 89,003,410.33/13,695.24
  6. Step 6: Final answer
    x = 6,498.86

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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.