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Finding the Fourth Proportional to 13,149.34, 19,710.84 and 5,249.00

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Solution

The fourth proportional to 13,149.34, 19,710.84 and 5,249.00 is: 7,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149.34 : 19,710.84 = 5,249.00 : x
  2. Step 2: Convert to fraction form
    13,149.34/19,710.84 = 5,249.00/x
  3. Step 3: Cross multiply
    13,149.34x = 19,710.84 × 5,249.00
  4. Step 4: Simplify right side
    13,149.34x = 103,462,268.12
  5. Step 5: Solve for x
    x = 103,462,268.12/13,149.34
  6. Step 6: Final answer
    x = 7,868.25

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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.