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Finding the Fourth Proportional to 17,507.25, 26,271.81 and 7,119

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Solution

The fourth proportional to 17,507.25, 26,271.81 and 7,119 is: 10,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.25 : 26,271.81 = 7,119 : x
  2. Step 2: Convert to fraction form
    17,507.25/26,271.81 = 7,119/x
  3. Step 3: Cross multiply
    17,507.25x = 26,271.81 × 7,119
  4. Step 4: Simplify right side
    17,507.25x = 187,029,015.39
  5. Step 5: Solve for x
    x = 187,029,015.39/17,507.25
  6. Step 6: Final answer
    x = 10,682.95

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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.