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Finding the Fourth Proportional to 15,582.69, 23,377.10 and 5,722.06

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Solution

The fourth proportional to 15,582.69, 23,377.10 and 5,722.06 is: 8,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.69 : 23,377.10 = 5,722.06 : x
  2. Step 2: Convert to fraction form
    15,582.69/23,377.10 = 5,722.06/x
  3. Step 3: Cross multiply
    15,582.69x = 23,377.10 × 5,722.06
  4. Step 4: Simplify right side
    15,582.69x = 133,765,168.83
  5. Step 5: Solve for x
    x = 133,765,168.83/15,582.69
  6. Step 6: Final answer
    x = 8,584.22

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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.