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Finding the Fourth Proportional to 17,416.16, 26,114.52 and 5,728.40

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Solution

The fourth proportional to 17,416.16, 26,114.52 and 5,728.40 is: 8,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.16 : 26,114.52 = 5,728.40 : x
  2. Step 2: Convert to fraction form
    17,416.16/26,114.52 = 5,728.40/x
  3. Step 3: Cross multiply
    17,416.16x = 26,114.52 × 5,728.40
  4. Step 4: Simplify right side
    17,416.16x = 149,594,416.37
  5. Step 5: Solve for x
    x = 149,594,416.37/17,416.16
  6. Step 6: Final answer
    x = 8,589.40

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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.