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Finding the Fourth Proportional to 17,568.64, 26,356.72 and 6,475.36

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Solution

The fourth proportional to 17,568.64, 26,356.72 and 6,475.36 is: 9,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,568.64 : 26,356.72 = 6,475.36 : x
  2. Step 2: Convert to fraction form
    17,568.64/26,356.72 = 6,475.36/x
  3. Step 3: Cross multiply
    17,568.64x = 26,356.72 × 6,475.36
  4. Step 4: Simplify right side
    17,568.64x = 170,669,250.42
  5. Step 5: Solve for x
    x = 170,669,250.42/17,568.64
  6. Step 6: Final answer
    x = 9,714.43

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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.