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Finding the Fourth Proportional to 13,096.50, 18,073.17 and 7,510.74

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Solution

The fourth proportional to 13,096.50, 18,073.17 and 7,510.74 is: 10,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.50 : 18,073.17 = 7,510.74 : x
  2. Step 2: Convert to fraction form
    13,096.50/18,073.17 = 7,510.74/x
  3. Step 3: Cross multiply
    13,096.50x = 18,073.17 × 7,510.74
  4. Step 4: Simplify right side
    13,096.50x = 135,742,880.85
  5. Step 5: Solve for x
    x = 135,742,880.85/13,096.50
  6. Step 6: Final answer
    x = 10,364.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.