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Finding the Fourth Proportional to 12,993.88, 17,931.72 and 7,405.24

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Solution

The fourth proportional to 12,993.88, 17,931.72 and 7,405.24 is: 10,219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.88 : 17,931.72 = 7,405.24 : x
  2. Step 2: Convert to fraction form
    12,993.88/17,931.72 = 7,405.24/x
  3. Step 3: Cross multiply
    12,993.88x = 17,931.72 × 7,405.24
  4. Step 4: Simplify right side
    12,993.88x = 132,788,690.21
  5. Step 5: Solve for x
    x = 132,788,690.21/12,993.88
  6. Step 6: Final answer
    x = 10,219.33

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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.