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Finding the Fourth Proportional to 15,582.94, 23,377.48 and 5,722.31

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Solution

The fourth proportional to 15,582.94, 23,377.48 and 5,722.31 is: 8,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.94 : 23,377.48 = 5,722.31 : x
  2. Step 2: Convert to fraction form
    15,582.94/23,377.48 = 5,722.31/x
  3. Step 3: Cross multiply
    15,582.94x = 23,377.48 × 5,722.31
  4. Step 4: Simplify right side
    15,582.94x = 133,773,158.97
  5. Step 5: Solve for x
    x = 133,773,158.97/15,582.94
  6. Step 6: Final answer
    x = 8,584.59

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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.