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Finding the Fourth Proportional to 17,164.17, 25,719.80 and 8,405.10

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Solution

The fourth proportional to 17,164.17, 25,719.80 and 8,405.10 is: 12,594.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.17 : 25,719.80 = 8,405.10 : x
  2. Step 2: Convert to fraction form
    17,164.17/25,719.80 = 8,405.10/x
  3. Step 3: Cross multiply
    17,164.17x = 25,719.80 × 8,405.10
  4. Step 4: Simplify right side
    17,164.17x = 216,177,448.95
  5. Step 5: Solve for x
    x = 216,177,448.95/17,164.17
  6. Step 6: Final answer
    x = 12,594.69

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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.