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Finding the Fourth Proportional to 12,529.85, 18,796.95 and 4,210.68

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Solution

The fourth proportional to 12,529.85, 18,796.95 and 4,210.68 is: 6,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.85 : 18,796.95 = 4,210.68 : x
  2. Step 2: Convert to fraction form
    12,529.85/18,796.95 = 4,210.68/x
  3. Step 3: Cross multiply
    12,529.85x = 18,796.95 × 4,210.68
  4. Step 4: Simplify right side
    12,529.85x = 79,147,941.43
  5. Step 5: Solve for x
    x = 79,147,941.43/12,529.85
  6. Step 6: Final answer
    x = 6,316.75

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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.