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Finding the Fourth Proportional to 34,794.96, 52,197.88 and 11,416.08

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Solution

The fourth proportional to 34,794.96, 52,197.88 and 11,416.08 is: 17,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,794.96 : 52,197.88 = 11,416.08 : x
  2. Step 2: Convert to fraction form
    34,794.96/52,197.88 = 11,416.08/x
  3. Step 3: Cross multiply
    34,794.96x = 52,197.88 × 11,416.08
  4. Step 4: Simplify right side
    34,794.96x = 595,895,173.91
  5. Step 5: Solve for x
    x = 595,895,173.91/34,794.96
  6. Step 6: Final answer
    x = 17,125.90

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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.