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Finding the Fourth Proportional to 12,924.93, 17,836.25 and 7,335.57

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Solution

The fourth proportional to 12,924.93, 17,836.25 and 7,335.57 is: 10,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.93 : 17,836.25 = 7,335.57 : x
  2. Step 2: Convert to fraction form
    12,924.93/17,836.25 = 7,335.57/x
  3. Step 3: Cross multiply
    12,924.93x = 17,836.25 × 7,335.57
  4. Step 4: Simplify right side
    12,924.93x = 130,839,023.73
  5. Step 5: Solve for x
    x = 130,839,023.73/12,924.93
  6. Step 6: Final answer
    x = 10,123.00

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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.