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Finding the Fourth Proportional to 13,264.20, 18,301.86 and 7,599.24

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Solution

The fourth proportional to 13,264.20, 18,301.86 and 7,599.24 is: 10,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.20 : 18,301.86 = 7,599.24 : x
  2. Step 2: Convert to fraction form
    13,264.20/18,301.86 = 7,599.24/x
  3. Step 3: Cross multiply
    13,264.20x = 18,301.86 × 7,599.24
  4. Step 4: Simplify right side
    13,264.20x = 139,080,226.59
  5. Step 5: Solve for x
    x = 139,080,226.59/13,264.20
  6. Step 6: Final answer
    x = 10,485.38

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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.