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Finding the Fourth Proportional to 12,014.40, 17,993.76 and 11,599.20

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Solution

The fourth proportional to 12,014.40, 17,993.76 and 11,599.20 is: 17,371.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.40 : 17,993.76 = 11,599.20 : x
  2. Step 2: Convert to fraction form
    12,014.40/17,993.76 = 11,599.20/x
  3. Step 3: Cross multiply
    12,014.40x = 17,993.76 × 11,599.20
  4. Step 4: Simplify right side
    12,014.40x = 208,713,220.99
  5. Step 5: Solve for x
    x = 208,713,220.99/12,014.40
  6. Step 6: Final answer
    x = 17,371.92

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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.