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Finding the Fourth Proportional to 13,509.64, 18,649.38 and 7,921

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Solution

The fourth proportional to 13,509.64, 18,649.38 and 7,921 is: 10,934.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.64 : 18,649.38 = 7,921 : x
  2. Step 2: Convert to fraction form
    13,509.64/18,649.38 = 7,921/x
  3. Step 3: Cross multiply
    13,509.64x = 18,649.38 × 7,921
  4. Step 4: Simplify right side
    13,509.64x = 147,721,738.98
  5. Step 5: Solve for x
    x = 147,721,738.98/13,509.64
  6. Step 6: Final answer
    x = 10,934.54

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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.