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Finding the Fourth Proportional to 13,580.09, 18,740.50 and 8,274.93

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Solution

The fourth proportional to 13,580.09, 18,740.50 and 8,274.93 is: 11,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.09 : 18,740.50 = 8,274.93 : x
  2. Step 2: Convert to fraction form
    13,580.09/18,740.50 = 8,274.93/x
  3. Step 3: Cross multiply
    13,580.09x = 18,740.50 × 8,274.93
  4. Step 4: Simplify right side
    13,580.09x = 155,076,234.70
  5. Step 5: Solve for x
    x = 155,076,234.70/13,580.09
  6. Step 6: Final answer
    x = 11,419.38

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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.