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Finding the Fourth Proportional to 17,076.16, 25,618.02 and 6,688

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Solution

The fourth proportional to 17,076.16, 25,618.02 and 6,688 is: 10,033.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.16 : 25,618.02 = 6,688 : x
  2. Step 2: Convert to fraction form
    17,076.16/25,618.02 = 6,688/x
  3. Step 3: Cross multiply
    17,076.16x = 25,618.02 × 6,688
  4. Step 4: Simplify right side
    17,076.16x = 171,333,317.76
  5. Step 5: Solve for x
    x = 171,333,317.76/17,076.16
  6. Step 6: Final answer
    x = 10,033.48

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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.