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Finding the Fourth Proportional to 17,341.54, 25,995.56 and 7,988

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Solution

The fourth proportional to 17,341.54, 25,995.56 and 7,988 is: 11,974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,341.54 : 25,995.56 = 7,988 : x
  2. Step 2: Convert to fraction form
    17,341.54/25,995.56 = 7,988/x
  3. Step 3: Cross multiply
    17,341.54x = 25,995.56 × 7,988
  4. Step 4: Simplify right side
    17,341.54x = 207,652,533.28
  5. Step 5: Solve for x
    x = 207,652,533.28/17,341.54
  6. Step 6: Final answer
    x = 11,974.28

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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.