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Finding the Fourth Proportional to 14,098.66, 21,148.14 and 5,776.54

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Solution

The fourth proportional to 14,098.66, 21,148.14 and 5,776.54 is: 8,664.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.66 : 21,148.14 = 5,776.54 : x
  2. Step 2: Convert to fraction form
    14,098.66/21,148.14 = 5,776.54/x
  3. Step 3: Cross multiply
    14,098.66x = 21,148.14 × 5,776.54
  4. Step 4: Simplify right side
    14,098.66x = 122,163,076.64
  5. Step 5: Solve for x
    x = 122,163,076.64/14,098.66
  6. Step 6: Final answer
    x = 8,664.87

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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.