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Finding the Fourth Proportional to 17,127.56, 25,693.06 and 4,647.78

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Solution

The fourth proportional to 17,127.56, 25,693.06 and 4,647.78 is: 6,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,127.56 : 25,693.06 = 4,647.78 : x
  2. Step 2: Convert to fraction form
    17,127.56/25,693.06 = 4,647.78/x
  3. Step 3: Cross multiply
    17,127.56x = 25,693.06 × 4,647.78
  4. Step 4: Simplify right side
    17,127.56x = 119,415,690.41
  5. Step 5: Solve for x
    x = 119,415,690.41/17,127.56
  6. Step 6: Final answer
    x = 6,972.14

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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.