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Finding the Fourth Proportional to 12,604.25, 18,909.50 and 5,210.84

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Solution

The fourth proportional to 12,604.25, 18,909.50 and 5,210.84 is: 7,817.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.25 : 18,909.50 = 5,210.84 : x
  2. Step 2: Convert to fraction form
    12,604.25/18,909.50 = 5,210.84/x
  3. Step 3: Cross multiply
    12,604.25x = 18,909.50 × 5,210.84
  4. Step 4: Simplify right side
    12,604.25x = 98,534,378.98
  5. Step 5: Solve for x
    x = 98,534,378.98/12,604.25
  6. Step 6: Final answer
    x = 7,817.55

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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.