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Finding the Fourth Proportional to 12,598.24, 17,381.97 and 8,124.56

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Solution

The fourth proportional to 12,598.24, 17,381.97 and 8,124.56 is: 11,209.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.24 : 17,381.97 = 8,124.56 : x
  2. Step 2: Convert to fraction form
    12,598.24/17,381.97 = 8,124.56/x
  3. Step 3: Cross multiply
    12,598.24x = 17,381.97 × 8,124.56
  4. Step 4: Simplify right side
    12,598.24x = 141,220,881.33
  5. Step 5: Solve for x
    x = 141,220,881.33/12,598.24
  6. Step 6: Final answer
    x = 11,209.57

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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.