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Finding the Fourth Proportional to 13,595.70, 18,760.74 and 7,626

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Solution

The fourth proportional to 13,595.70, 18,760.74 and 7,626 is: 10,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,595.70 : 18,760.74 = 7,626 : x
  2. Step 2: Convert to fraction form
    13,595.70/18,760.74 = 7,626/x
  3. Step 3: Cross multiply
    13,595.70x = 18,760.74 × 7,626
  4. Step 4: Simplify right side
    13,595.70x = 143,069,403.24
  5. Step 5: Solve for x
    x = 143,069,403.24/13,595.70
  6. Step 6: Final answer
    x = 10,523.14

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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.