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Finding the Fourth Proportional to 16,924.96, 25,389.16 and 5,830.20

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Solution

The fourth proportional to 16,924.96, 25,389.16 and 5,830.20 is: 8,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,924.96 : 25,389.16 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    16,924.96/25,389.16 = 5,830.20/x
  3. Step 3: Cross multiply
    16,924.96x = 25,389.16 × 5,830.20
  4. Step 4: Simplify right side
    16,924.96x = 148,023,880.63
  5. Step 5: Solve for x
    x = 148,023,880.63/16,924.96
  6. Step 6: Final answer
    x = 8,745.89

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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.