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Finding the Fourth Proportional to 14,722.89, 22,087.74 and 7,706.70

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Solution

The fourth proportional to 14,722.89, 22,087.74 and 7,706.70 is: 11,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.89 : 22,087.74 = 7,706.70 : x
  2. Step 2: Convert to fraction form
    14,722.89/22,087.74 = 7,706.70/x
  3. Step 3: Cross multiply
    14,722.89x = 22,087.74 × 7,706.70
  4. Step 4: Simplify right side
    14,722.89x = 170,223,585.86
  5. Step 5: Solve for x
    x = 170,223,585.86/14,722.89
  6. Step 6: Final answer
    x = 11,561.83

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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.