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Finding the Fourth Proportional to 17,117.92, 25,670.40 and 6,724

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Solution

The fourth proportional to 17,117.92, 25,670.40 and 6,724 is: 10,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,117.92 : 25,670.40 = 6,724 : x
  2. Step 2: Convert to fraction form
    17,117.92/25,670.40 = 6,724/x
  3. Step 3: Cross multiply
    17,117.92x = 25,670.40 × 6,724
  4. Step 4: Simplify right side
    17,117.92x = 172,607,769.60
  5. Step 5: Solve for x
    x = 172,607,769.60/17,117.92
  6. Step 6: Final answer
    x = 10,083.45

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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.