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Finding the Fourth Proportional to 23,353.34, 32,226.53 and 12,742.74

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Solution

The fourth proportional to 23,353.34, 32,226.53 and 12,742.74 is: 17,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.34 : 32,226.53 = 12,742.74 : x
  2. Step 2: Convert to fraction form
    23,353.34/32,226.53 = 12,742.74/x
  3. Step 3: Cross multiply
    23,353.34x = 32,226.53 × 12,742.74
  4. Step 4: Simplify right side
    23,353.34x = 410,654,229.18
  5. Step 5: Solve for x
    x = 410,654,229.18/23,353.34
  6. Step 6: Final answer
    x = 17,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.