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Finding the Fourth Proportional to 13,197.71, 19,782.20 and 4,870.71

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Solution

The fourth proportional to 13,197.71, 19,782.20 and 4,870.71 is: 7,300.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.71 : 19,782.20 = 4,870.71 : x
  2. Step 2: Convert to fraction form
    13,197.71/19,782.20 = 4,870.71/x
  3. Step 3: Cross multiply
    13,197.71x = 19,782.20 × 4,870.71
  4. Step 4: Simplify right side
    13,197.71x = 96,353,371.54
  5. Step 5: Solve for x
    x = 96,353,371.54/13,197.71
  6. Step 6: Final answer
    x = 7,300.76

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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.