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Finding the Fourth Proportional to 13,135.87, 19,703.64 and 3,275.24

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Solution

The fourth proportional to 13,135.87, 19,703.64 and 3,275.24 is: 4,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.87 : 19,703.64 = 3,275.24 : x
  2. Step 2: Convert to fraction form
    13,135.87/19,703.64 = 3,275.24/x
  3. Step 3: Cross multiply
    13,135.87x = 19,703.64 × 3,275.24
  4. Step 4: Simplify right side
    13,135.87x = 64,534,045.21
  5. Step 5: Solve for x
    x = 64,534,045.21/13,135.87
  6. Step 6: Final answer
    x = 4,912.81

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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.