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Finding the Fourth Proportional to 12,385.94, 18,557.31 and 10,319.21

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Solution

The fourth proportional to 12,385.94, 18,557.31 and 10,319.21 is: 15,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.94 : 18,557.31 = 10,319.21 : x
  2. Step 2: Convert to fraction form
    12,385.94/18,557.31 = 10,319.21/x
  3. Step 3: Cross multiply
    12,385.94x = 18,557.31 × 10,319.21
  4. Step 4: Simplify right side
    12,385.94x = 191,496,778.93
  5. Step 5: Solve for x
    x = 191,496,778.93/12,385.94
  6. Step 6: Final answer
    x = 15,460.82

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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.