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Finding the Fourth Proportional to 18,314.33, 27,470.27 and 8,316.70

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Solution

The fourth proportional to 18,314.33, 27,470.27 and 8,316.70 is: 12,474.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.33 : 27,470.27 = 8,316.70 : x
  2. Step 2: Convert to fraction form
    18,314.33/27,470.27 = 8,316.70/x
  3. Step 3: Cross multiply
    18,314.33x = 27,470.27 × 8,316.70
  4. Step 4: Simplify right side
    18,314.33x = 228,461,946.63
  5. Step 5: Solve for x
    x = 228,461,946.63/18,314.33
  6. Step 6: Final answer
    x = 12,474.49

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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.