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Finding the Fourth Proportional to 13,086.40, 19,634.81 and 4,766.98

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Solution

The fourth proportional to 13,086.40, 19,634.81 and 4,766.98 is: 7,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.40 : 19,634.81 = 4,766.98 : x
  2. Step 2: Convert to fraction form
    13,086.40/19,634.81 = 4,766.98/x
  3. Step 3: Cross multiply
    13,086.40x = 19,634.81 × 4,766.98
  4. Step 4: Simplify right side
    13,086.40x = 93,598,746.57
  5. Step 5: Solve for x
    x = 93,598,746.57/13,086.40
  6. Step 6: Final answer
    x = 7,152.37

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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.