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Finding the Fourth Proportional to 12,766.71, 19,150.37 and 4,868.20

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Solution

The fourth proportional to 12,766.71, 19,150.37 and 4,868.20 is: 7,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,766.71 : 19,150.37 = 4,868.20 : x
  2. Step 2: Convert to fraction form
    12,766.71/19,150.37 = 4,868.20/x
  3. Step 3: Cross multiply
    12,766.71x = 19,150.37 × 4,868.20
  4. Step 4: Simplify right side
    12,766.71x = 93,227,831.23
  5. Step 5: Solve for x
    x = 93,227,831.23/12,766.71
  6. Step 6: Final answer
    x = 7,302.42

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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.