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Finding the Fourth Proportional to 14,494.64, 20,042.86 and 11,505.28

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Solution

The fourth proportional to 14,494.64, 20,042.86 and 11,505.28 is: 15,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.64 : 20,042.86 = 11,505.28 : x
  2. Step 2: Convert to fraction form
    14,494.64/20,042.86 = 11,505.28/x
  3. Step 3: Cross multiply
    14,494.64x = 20,042.86 × 11,505.28
  4. Step 4: Simplify right side
    14,494.64x = 230,598,696.58
  5. Step 5: Solve for x
    x = 230,598,696.58/14,494.64
  6. Step 6: Final answer
    x = 15,909.24

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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.