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Finding the Fourth Proportional to 23,722.65, 35,584.21 and 9,678.93

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Solution

The fourth proportional to 23,722.65, 35,584.21 and 9,678.93 is: 14,518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,722.65 : 35,584.21 = 9,678.93 : x
  2. Step 2: Convert to fraction form
    23,722.65/35,584.21 = 9,678.93/x
  3. Step 3: Cross multiply
    23,722.65x = 35,584.21 × 9,678.93
  4. Step 4: Simplify right side
    23,722.65x = 344,416,956.35
  5. Step 5: Solve for x
    x = 344,416,956.35/23,722.65
  6. Step 6: Final answer
    x = 14,518.49

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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.