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Finding the Fourth Proportional to 14,494.08, 19,995.84 and 8,204.16

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Solution

The fourth proportional to 14,494.08, 19,995.84 and 8,204.16 is: 11,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.08 : 19,995.84 = 8,204.16 : x
  2. Step 2: Convert to fraction form
    14,494.08/19,995.84 = 8,204.16/x
  3. Step 3: Cross multiply
    14,494.08x = 19,995.84 × 8,204.16
  4. Step 4: Simplify right side
    14,494.08x = 164,049,070.69
  5. Step 5: Solve for x
    x = 164,049,070.69/14,494.08
  6. Step 6: Final answer
    x = 11,318.35

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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.