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Finding the Fourth Proportional to 12,811.40, 19,213.50 and 6,237.80

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Solution

The fourth proportional to 12,811.40, 19,213.50 and 6,237.80 is: 9,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.40 : 19,213.50 = 6,237.80 : x
  2. Step 2: Convert to fraction form
    12,811.40/19,213.50 = 6,237.80/x
  3. Step 3: Cross multiply
    12,811.40x = 19,213.50 × 6,237.80
  4. Step 4: Simplify right side
    12,811.40x = 119,849,970.30
  5. Step 5: Solve for x
    x = 119,849,970.30/12,811.40
  6. Step 6: Final answer
    x = 9,354.95

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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.