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Finding the Fourth Proportional to 12,597.24, 18,893.07 and 7,649.13

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Solution

The fourth proportional to 12,597.24, 18,893.07 and 7,649.13 is: 11,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.24 : 18,893.07 = 7,649.13 : x
  2. Step 2: Convert to fraction form
    12,597.24/18,893.07 = 7,649.13/x
  3. Step 3: Cross multiply
    12,597.24x = 18,893.07 × 7,649.13
  4. Step 4: Simplify right side
    12,597.24x = 144,515,548.53
  5. Step 5: Solve for x
    x = 144,515,548.53/12,597.24
  6. Step 6: Final answer
    x = 11,472.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.