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Finding the Fourth Proportional to 16,360, 22,575 and 9,286.48

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Solution

The fourth proportional to 16,360, 22,575 and 9,286.48 is: 12,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,360 : 22,575 = 9,286.48 : x
  2. Step 2: Convert to fraction form
    16,360/22,575 = 9,286.48/x
  3. Step 3: Cross multiply
    16,360x = 22,575 × 9,286.48
  4. Step 4: Simplify right side
    16,360x = 209,642,286
  5. Step 5: Solve for x
    x = 209,642,286/16,360
  6. Step 6: Final answer
    x = 12,814.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.