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Finding the Fourth Proportional to 13,096.50, 18,073.26 and 7,507.50

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Solution

The fourth proportional to 13,096.50, 18,073.26 and 7,507.50 is: 10,360.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.50 : 18,073.26 = 7,507.50 : x
  2. Step 2: Convert to fraction form
    13,096.50/18,073.26 = 7,507.50/x
  3. Step 3: Cross multiply
    13,096.50x = 18,073.26 × 7,507.50
  4. Step 4: Simplify right side
    13,096.50x = 135,684,999.45
  5. Step 5: Solve for x
    x = 135,684,999.45/13,096.50
  6. Step 6: Final answer
    x = 10,360.40

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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.