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Finding the Fourth Proportional to 12,703.37, 17,524.91 and 7,665.98

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Solution

The fourth proportional to 12,703.37, 17,524.91 and 7,665.98 is: 10,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.37 : 17,524.91 = 7,665.98 : x
  2. Step 2: Convert to fraction form
    12,703.37/17,524.91 = 7,665.98/x
  3. Step 3: Cross multiply
    12,703.37x = 17,524.91 × 7,665.98
  4. Step 4: Simplify right side
    12,703.37x = 134,345,615.04
  5. Step 5: Solve for x
    x = 134,345,615.04/12,703.37
  6. Step 6: Final answer
    x = 10,575.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.