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Finding the Fourth Proportional to 22,993.12, 34,485.92 and 8,199.84

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Solution

The fourth proportional to 22,993.12, 34,485.92 and 8,199.84 is: 12,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,993.12 : 34,485.92 = 8,199.84 : x
  2. Step 2: Convert to fraction form
    22,993.12/34,485.92 = 8,199.84/x
  3. Step 3: Cross multiply
    22,993.12x = 34,485.92 × 8,199.84
  4. Step 4: Simplify right side
    22,993.12x = 282,779,026.25
  5. Step 5: Solve for x
    x = 282,779,026.25/22,993.12
  6. Step 6: Final answer
    x = 12,298.42

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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.