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Finding the Fourth Proportional to 13,297.68, 19,947.03 and 4,976.82

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Solution

The fourth proportional to 13,297.68, 19,947.03 and 4,976.82 is: 7,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.68 : 19,947.03 = 4,976.82 : x
  2. Step 2: Convert to fraction form
    13,297.68/19,947.03 = 4,976.82/x
  3. Step 3: Cross multiply
    13,297.68x = 19,947.03 × 4,976.82
  4. Step 4: Simplify right side
    13,297.68x = 99,272,827.71
  5. Step 5: Solve for x
    x = 99,272,827.71/13,297.68
  6. Step 6: Final answer
    x = 7,465.42

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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.