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Finding the Fourth Proportional to 15,084.18, 22,638.71 and 7,589.86

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Solution

The fourth proportional to 15,084.18, 22,638.71 and 7,589.86 is: 11,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.18 : 22,638.71 = 7,589.86 : x
  2. Step 2: Convert to fraction form
    15,084.18/22,638.71 = 7,589.86/x
  3. Step 3: Cross multiply
    15,084.18x = 22,638.71 × 7,589.86
  4. Step 4: Simplify right side
    15,084.18x = 171,824,601.86
  5. Step 5: Solve for x
    x = 171,824,601.86/15,084.18
  6. Step 6: Final answer
    x = 11,391.05

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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.