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Finding the Fourth Proportional to 14,327.85, 21,464.43 and 8,390.16

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Solution

The fourth proportional to 14,327.85, 21,464.43 and 8,390.16 is: 12,569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.85 : 21,464.43 = 8,390.16 : x
  2. Step 2: Convert to fraction form
    14,327.85/21,464.43 = 8,390.16/x
  3. Step 3: Cross multiply
    14,327.85x = 21,464.43 × 8,390.16
  4. Step 4: Simplify right side
    14,327.85x = 180,090,002.01
  5. Step 5: Solve for x
    x = 180,090,002.01/14,327.85
  6. Step 6: Final answer
    x = 12,569.23

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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.