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Finding the Fourth Proportional to 12,534.75, 18,794.84 and 4,210.18

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Solution

The fourth proportional to 12,534.75, 18,794.84 and 4,210.18 is: 6,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.75 : 18,794.84 = 4,210.18 : x
  2. Step 2: Convert to fraction form
    12,534.75/18,794.84 = 4,210.18/x
  3. Step 3: Cross multiply
    12,534.75x = 18,794.84 × 4,210.18
  4. Step 4: Simplify right side
    12,534.75x = 79,129,591.43
  5. Step 5: Solve for x
    x = 79,129,591.43/12,534.75
  6. Step 6: Final answer
    x = 6,312.82

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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.