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Finding the Fourth Proportional to 13,509.28, 20,264.16 and 7,274.40

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Solution

The fourth proportional to 13,509.28, 20,264.16 and 7,274.40 is: 10,911.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.28 : 20,264.16 = 7,274.40 : x
  2. Step 2: Convert to fraction form
    13,509.28/20,264.16 = 7,274.40/x
  3. Step 3: Cross multiply
    13,509.28x = 20,264.16 × 7,274.40
  4. Step 4: Simplify right side
    13,509.28x = 147,409,605.50
  5. Step 5: Solve for x
    x = 147,409,605.50/13,509.28
  6. Step 6: Final answer
    x = 10,911.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.