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Finding the Fourth Proportional to 15,164.48, 22,735.20 and 12,584

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Solution

The fourth proportional to 15,164.48, 22,735.20 and 12,584 is: 18,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,164.48 : 22,735.20 = 12,584 : x
  2. Step 2: Convert to fraction form
    15,164.48/22,735.20 = 12,584/x
  3. Step 3: Cross multiply
    15,164.48x = 22,735.20 × 12,584
  4. Step 4: Simplify right side
    15,164.48x = 286,099,756.80
  5. Step 5: Solve for x
    x = 286,099,756.80/15,164.48
  6. Step 6: Final answer
    x = 18,866.44

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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.