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Finding the Fourth Proportional to 17,475.16, 26,213.05 and 5,788.68

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Solution

The fourth proportional to 17,475.16, 26,213.05 and 5,788.68 is: 8,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,475.16 : 26,213.05 = 5,788.68 : x
  2. Step 2: Convert to fraction form
    17,475.16/26,213.05 = 5,788.68/x
  3. Step 3: Cross multiply
    17,475.16x = 26,213.05 × 5,788.68
  4. Step 4: Simplify right side
    17,475.16x = 151,738,994.86
  5. Step 5: Solve for x
    x = 151,738,994.86/17,475.16
  6. Step 6: Final answer
    x = 8,683.12

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Why These Related Problems?

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