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Finding the Fourth Proportional to 14,838.64, 20,475.48 and 8,213.36

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Solution

The fourth proportional to 14,838.64, 20,475.48 and 8,213.36 is: 11,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,838.64 : 20,475.48 = 8,213.36 : x
  2. Step 2: Convert to fraction form
    14,838.64/20,475.48 = 8,213.36/x
  3. Step 3: Cross multiply
    14,838.64x = 20,475.48 × 8,213.36
  4. Step 4: Simplify right side
    14,838.64x = 168,172,488.41
  5. Step 5: Solve for x
    x = 168,172,488.41/14,838.64
  6. Step 6: Final answer
    x = 11,333.42

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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.