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Finding the Fourth Proportional to 12,697.88, 17,519.00 and 8,225.06

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Solution

The fourth proportional to 12,697.88, 17,519.00 and 8,225.06 is: 11,347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.88 : 17,519.00 = 8,225.06 : x
  2. Step 2: Convert to fraction form
    12,697.88/17,519.00 = 8,225.06/x
  3. Step 3: Cross multiply
    12,697.88x = 17,519.00 × 8,225.06
  4. Step 4: Simplify right side
    12,697.88x = 144,094,697.42
  5. Step 5: Solve for x
    x = 144,094,697.42/12,697.88
  6. Step 6: Final answer
    x = 11,347.94

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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.