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Finding the Fourth Proportional to 17,091, 23,585.58 and 9,640.44

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Solution

The fourth proportional to 17,091, 23,585.58 and 9,640.44 is: 13,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,091 : 23,585.58 = 9,640.44 : x
  2. Step 2: Convert to fraction form
    17,091/23,585.58 = 9,640.44/x
  3. Step 3: Cross multiply
    17,091x = 23,585.58 × 9,640.44
  4. Step 4: Simplify right side
    17,091x = 227,375,368.86
  5. Step 5: Solve for x
    x = 227,375,368.86/17,091
  6. Step 6: Final answer
    x = 13,303.81

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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.