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Finding the Fourth Proportional to 17,104.50, 25,656.81 and 4,792.50

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Solution

The fourth proportional to 17,104.50, 25,656.81 and 4,792.50 is: 7,188.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,104.50 : 25,656.81 = 4,792.50 : x
  2. Step 2: Convert to fraction form
    17,104.50/25,656.81 = 4,792.50/x
  3. Step 3: Cross multiply
    17,104.50x = 25,656.81 × 4,792.50
  4. Step 4: Simplify right side
    17,104.50x = 122,960,261.93
  5. Step 5: Solve for x
    x = 122,960,261.93/17,104.50
  6. Step 6: Final answer
    x = 7,188.77

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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.