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Finding the Fourth Proportional to 17,159.84, 25,740.04 and 6,771.50

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Solution

The fourth proportional to 17,159.84, 25,740.04 and 6,771.50 is: 10,157.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,159.84 : 25,740.04 = 6,771.50 : x
  2. Step 2: Convert to fraction form
    17,159.84/25,740.04 = 6,771.50/x
  3. Step 3: Cross multiply
    17,159.84x = 25,740.04 × 6,771.50
  4. Step 4: Simplify right side
    17,159.84x = 174,298,680.86
  5. Step 5: Solve for x
    x = 174,298,680.86/17,159.84
  6. Step 6: Final answer
    x = 10,157.36

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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.