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Finding the Fourth Proportional to 13,305.47, 19,968.54 and 4,993.05

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Solution

The fourth proportional to 13,305.47, 19,968.54 and 4,993.05 is: 7,493.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.47 : 19,968.54 = 4,993.05 : x
  2. Step 2: Convert to fraction form
    13,305.47/19,968.54 = 4,993.05/x
  3. Step 3: Cross multiply
    13,305.47x = 19,968.54 × 4,993.05
  4. Step 4: Simplify right side
    13,305.47x = 99,703,918.65
  5. Step 5: Solve for x
    x = 99,703,918.65/13,305.47
  6. Step 6: Final answer
    x = 7,493.45

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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.