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Finding the Fourth Proportional to 14,644.64, 20,207.40 and 8,356.16

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Solution

The fourth proportional to 14,644.64, 20,207.40 and 8,356.16 is: 11,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.64 : 20,207.40 = 8,356.16 : x
  2. Step 2: Convert to fraction form
    14,644.64/20,207.40 = 8,356.16/x
  3. Step 3: Cross multiply
    14,644.64x = 20,207.40 × 8,356.16
  4. Step 4: Simplify right side
    14,644.64x = 168,856,267.58
  5. Step 5: Solve for x
    x = 168,856,267.58/14,644.64
  6. Step 6: Final answer
    x = 11,530.24

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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.