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Finding the Fourth Proportional to 14,606.16, 21,909.42 and 4,218

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Solution

The fourth proportional to 14,606.16, 21,909.42 and 4,218 is: 6,327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.16 : 21,909.42 = 4,218 : x
  2. Step 2: Convert to fraction form
    14,606.16/21,909.42 = 4,218/x
  3. Step 3: Cross multiply
    14,606.16x = 21,909.42 × 4,218
  4. Step 4: Simplify right side
    14,606.16x = 92,413,933.56
  5. Step 5: Solve for x
    x = 92,413,933.56/14,606.16
  6. Step 6: Final answer
    x = 6,327.05

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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.