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Finding the Fourth Proportional to 12,923.51, 17,833.14 and 7,257.83

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Solution

The fourth proportional to 12,923.51, 17,833.14 and 7,257.83 is: 10,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.51 : 17,833.14 = 7,257.83 : x
  2. Step 2: Convert to fraction form
    12,923.51/17,833.14 = 7,257.83/x
  3. Step 3: Cross multiply
    12,923.51x = 17,833.14 × 7,257.83
  4. Step 4: Simplify right side
    12,923.51x = 129,429,809.32
  5. Step 5: Solve for x
    x = 129,429,809.32/12,923.51
  6. Step 6: Final answer
    x = 10,015.07

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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.