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Finding the Fourth Proportional to 13,291.50, 19,940.50 and 3,931.46

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Solution

The fourth proportional to 13,291.50, 19,940.50 and 3,931.46 is: 5,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.50 : 19,940.50 = 3,931.46 : x
  2. Step 2: Convert to fraction form
    13,291.50/19,940.50 = 3,931.46/x
  3. Step 3: Cross multiply
    13,291.50x = 19,940.50 × 3,931.46
  4. Step 4: Simplify right side
    13,291.50x = 78,395,278.13
  5. Step 5: Solve for x
    x = 78,395,278.13/13,291.50
  6. Step 6: Final answer
    x = 5,898.15

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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.