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Finding the Fourth Proportional to 12,924.95, 19,391.22 and 4,159.64

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Solution

The fourth proportional to 12,924.95, 19,391.22 and 4,159.64 is: 6,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.95 : 19,391.22 = 4,159.64 : x
  2. Step 2: Convert to fraction form
    12,924.95/19,391.22 = 4,159.64/x
  3. Step 3: Cross multiply
    12,924.95x = 19,391.22 × 4,159.64
  4. Step 4: Simplify right side
    12,924.95x = 80,660,494.36
  5. Step 5: Solve for x
    x = 80,660,494.36/12,924.95
  6. Step 6: Final answer
    x = 6,240.68

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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.