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Finding the Fourth Proportional to 13,474.16, 18,593.80 and 7,506.50

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Solution

The fourth proportional to 13,474.16, 18,593.80 and 7,506.50 is: 10,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.16 : 18,593.80 = 7,506.50 : x
  2. Step 2: Convert to fraction form
    13,474.16/18,593.80 = 7,506.50/x
  3. Step 3: Cross multiply
    13,474.16x = 18,593.80 × 7,506.50
  4. Step 4: Simplify right side
    13,474.16x = 139,574,359.70
  5. Step 5: Solve for x
    x = 139,574,359.70/13,474.16
  6. Step 6: Final answer
    x = 10,358.67

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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.