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Finding the Fourth Proportional to 23,333.96, 32,200.78 and 12,723.57

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Solution

The fourth proportional to 23,333.96, 32,200.78 and 12,723.57 is: 17,558.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,333.96 : 32,200.78 = 12,723.57 : x
  2. Step 2: Convert to fraction form
    23,333.96/32,200.78 = 12,723.57/x
  3. Step 3: Cross multiply
    23,333.96x = 32,200.78 × 12,723.57
  4. Step 4: Simplify right side
    23,333.96x = 409,708,878.38
  5. Step 5: Solve for x
    x = 409,708,878.38/23,333.96
  6. Step 6: Final answer
    x = 17,558.48

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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.