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Finding the Fourth Proportional to 12,381.93, 18,573.50 and 4,058.57

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Solution

The fourth proportional to 12,381.93, 18,573.50 and 4,058.57 is: 6,088.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.93 : 18,573.50 = 4,058.57 : x
  2. Step 2: Convert to fraction form
    12,381.93/18,573.50 = 4,058.57/x
  3. Step 3: Cross multiply
    12,381.93x = 18,573.50 × 4,058.57
  4. Step 4: Simplify right side
    12,381.93x = 75,381,906.48
  5. Step 5: Solve for x
    x = 75,381,906.48/12,381.93
  6. Step 6: Final answer
    x = 6,088.06

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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.