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Finding the Fourth Proportional to 12,924.08, 17,822.40 and 8,206.64

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Solution

The fourth proportional to 12,924.08, 17,822.40 and 8,206.64 is: 11,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,924.08 : 17,822.40 = 8,206.64 : x
  2. Step 2: Convert to fraction form
    12,924.08/17,822.40 = 8,206.64/x
  3. Step 3: Cross multiply
    12,924.08x = 17,822.40 × 8,206.64
  4. Step 4: Simplify right side
    12,924.08x = 146,262,020.74
  5. Step 5: Solve for x
    x = 146,262,020.74/12,924.08
  6. Step 6: Final answer
    x = 11,317.02

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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.