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Finding the Fourth Proportional to 12,933.87, 17,848.24 and 7,268.46

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Solution

The fourth proportional to 12,933.87, 17,848.24 and 7,268.46 is: 10,030.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,933.87 : 17,848.24 = 7,268.46 : x
  2. Step 2: Convert to fraction form
    12,933.87/17,848.24 = 7,268.46/x
  3. Step 3: Cross multiply
    12,933.87x = 17,848.24 × 7,268.46
  4. Step 4: Simplify right side
    12,933.87x = 129,729,218.51
  5. Step 5: Solve for x
    x = 129,729,218.51/12,933.87
  6. Step 6: Final answer
    x = 10,030.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.