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Finding the Fourth Proportional to 14,519.64, 20,077.29 and 11,530.20

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Solution

The fourth proportional to 14,519.64, 20,077.29 and 11,530.20 is: 15,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.64 : 20,077.29 = 11,530.20 : x
  2. Step 2: Convert to fraction form
    14,519.64/20,077.29 = 11,530.20/x
  3. Step 3: Cross multiply
    14,519.64x = 20,077.29 × 11,530.20
  4. Step 4: Simplify right side
    14,519.64x = 231,495,169.16
  5. Step 5: Solve for x
    x = 231,495,169.16/14,519.64
  6. Step 6: Final answer
    x = 15,943.59

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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.