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Finding the Fourth Proportional to 14,520.84, 20,066 and 11,867.28

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Solution

The fourth proportional to 14,520.84, 20,066 and 11,867.28 is: 16,399.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.84 : 20,066 = 11,867.28 : x
  2. Step 2: Convert to fraction form
    14,520.84/20,066 = 11,867.28/x
  3. Step 3: Cross multiply
    14,520.84x = 20,066 × 11,867.28
  4. Step 4: Simplify right side
    14,520.84x = 238,128,840.48
  5. Step 5: Solve for x
    x = 238,128,840.48/14,520.84
  6. Step 6: Final answer
    x = 16,399.11

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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.