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Finding the Fourth Proportional to 30,783.12, 46,174.68 and 8,596.56

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Solution

The fourth proportional to 30,783.12, 46,174.68 and 8,596.56 is: 12,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783.12 : 46,174.68 = 8,596.56 : x
  2. Step 2: Convert to fraction form
    30,783.12/46,174.68 = 8,596.56/x
  3. Step 3: Cross multiply
    30,783.12x = 46,174.68 × 8,596.56
  4. Step 4: Simplify right side
    30,783.12x = 396,943,407.10
  5. Step 5: Solve for x
    x = 396,943,407.10/30,783.12
  6. Step 6: Final answer
    x = 12,894.84

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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.