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Finding the Fourth Proportional to 13,065.50, 19,601.51 and 3,831.50

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Solution

The fourth proportional to 13,065.50, 19,601.51 and 3,831.50 is: 5,748.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.50 : 19,601.51 = 3,831.50 : x
  2. Step 2: Convert to fraction form
    13,065.50/19,601.51 = 3,831.50/x
  3. Step 3: Cross multiply
    13,065.50x = 19,601.51 × 3,831.50
  4. Step 4: Simplify right side
    13,065.50x = 75,103,166.41
  5. Step 5: Solve for x
    x = 75,103,166.41/13,065.50
  6. Step 6: Final answer
    x = 5,748.20

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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.