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Finding the Fourth Proportional to 12,357.97, 18,539.79 and 4,038.61

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Solution

The fourth proportional to 12,357.97, 18,539.79 and 4,038.61 is: 6,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.97 : 18,539.79 = 4,038.61 : x
  2. Step 2: Convert to fraction form
    12,357.97/18,539.79 = 4,038.61/x
  3. Step 3: Cross multiply
    12,357.97x = 18,539.79 × 4,038.61
  4. Step 4: Simplify right side
    12,357.97x = 74,874,954.56
  5. Step 5: Solve for x
    x = 74,874,954.56/12,357.97
  6. Step 6: Final answer
    x = 6,058.84

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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.