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Finding the Fourth Proportional to 17,134.50, 25,701.75 and 6,746.25

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Solution

The fourth proportional to 17,134.50, 25,701.75 and 6,746.25 is: 10,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.50 : 25,701.75 = 6,746.25 : x
  2. Step 2: Convert to fraction form
    17,134.50/25,701.75 = 6,746.25/x
  3. Step 3: Cross multiply
    17,134.50x = 25,701.75 × 6,746.25
  4. Step 4: Simplify right side
    17,134.50x = 173,390,430.94
  5. Step 5: Solve for x
    x = 173,390,430.94/17,134.50
  6. Step 6: Final answer
    x = 10,119.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.