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Finding the Fourth Proportional to 17,570.75, 26,356.14 and 7,182.50

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Solution

The fourth proportional to 17,570.75, 26,356.14 and 7,182.50 is: 10,773.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,570.75 : 26,356.14 = 7,182.50 : x
  2. Step 2: Convert to fraction form
    17,570.75/26,356.14 = 7,182.50/x
  3. Step 3: Cross multiply
    17,570.75x = 26,356.14 × 7,182.50
  4. Step 4: Simplify right side
    17,570.75x = 189,302,975.55
  5. Step 5: Solve for x
    x = 189,302,975.55/17,570.75
  6. Step 6: Final answer
    x = 10,773.76

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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.