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Finding the Fourth Proportional to 15,582.63, 23,377.14 and 5,722.02

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Solution

The fourth proportional to 15,582.63, 23,377.14 and 5,722.02 is: 8,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.63 : 23,377.14 = 5,722.02 : x
  2. Step 2: Convert to fraction form
    15,582.63/23,377.14 = 5,722.02/x
  3. Step 3: Cross multiply
    15,582.63x = 23,377.14 × 5,722.02
  4. Step 4: Simplify right side
    15,582.63x = 133,764,462.62
  5. Step 5: Solve for x
    x = 133,764,462.62/15,582.63
  6. Step 6: Final answer
    x = 8,584.20

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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.