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Finding the Fourth Proportional to 17,164.32, 25,741.04 and 8,841.76

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Solution

The fourth proportional to 17,164.32, 25,741.04 and 8,841.76 is: 13,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,164.32 : 25,741.04 = 8,841.76 : x
  2. Step 2: Convert to fraction form
    17,164.32/25,741.04 = 8,841.76/x
  3. Step 3: Cross multiply
    17,164.32x = 25,741.04 × 8,841.76
  4. Step 4: Simplify right side
    17,164.32x = 227,596,097.83
  5. Step 5: Solve for x
    x = 227,596,097.83/17,164.32
  6. Step 6: Final answer
    x = 13,259.84

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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.