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Finding the Fourth Proportional to 23,446.50, 35,178.39 and 12,352.74

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Solution

The fourth proportional to 23,446.50, 35,178.39 and 12,352.74 is: 18,533.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.50 : 35,178.39 = 12,352.74 : x
  2. Step 2: Convert to fraction form
    23,446.50/35,178.39 = 12,352.74/x
  3. Step 3: Cross multiply
    23,446.50x = 35,178.39 × 12,352.74
  4. Step 4: Simplify right side
    23,446.50x = 434,549,505.29
  5. Step 5: Solve for x
    x = 434,549,505.29/23,446.50
  6. Step 6: Final answer
    x = 18,533.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.