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Finding the Fourth Proportional to 13,336.64, 20,009.28 and 6,410.24

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Solution

The fourth proportional to 13,336.64, 20,009.28 and 6,410.24 is: 9,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,336.64 : 20,009.28 = 6,410.24 : x
  2. Step 2: Convert to fraction form
    13,336.64/20,009.28 = 6,410.24/x
  3. Step 3: Cross multiply
    13,336.64x = 20,009.28 × 6,410.24
  4. Step 4: Simplify right side
    13,336.64x = 128,264,287.03
  5. Step 5: Solve for x
    x = 128,264,287.03/13,336.64
  6. Step 6: Final answer
    x = 9,617.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.