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Finding the Fourth Proportional to 13,464.84, 20,165.91 and 12,997.74

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Solution

The fourth proportional to 13,464.84, 20,165.91 and 12,997.74 is: 19,466.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.84 : 20,165.91 = 12,997.74 : x
  2. Step 2: Convert to fraction form
    13,464.84/20,165.91 = 12,997.74/x
  3. Step 3: Cross multiply
    13,464.84x = 20,165.91 × 12,997.74
  4. Step 4: Simplify right side
    13,464.84x = 262,111,255.04
  5. Step 5: Solve for x
    x = 262,111,255.04/13,464.84
  6. Step 6: Final answer
    x = 19,466.35

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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.