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Finding the Fourth Proportional to 16,967.82, 25,443.50 and 7,607.46

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Solution

The fourth proportional to 16,967.82, 25,443.50 and 7,607.46 is: 11,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967.82 : 25,443.50 = 7,607.46 : x
  2. Step 2: Convert to fraction form
    16,967.82/25,443.50 = 7,607.46/x
  3. Step 3: Cross multiply
    16,967.82x = 25,443.50 × 7,607.46
  4. Step 4: Simplify right side
    16,967.82x = 193,560,408.51
  5. Step 5: Solve for x
    x = 193,560,408.51/16,967.82
  6. Step 6: Final answer
    x = 11,407.50

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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.