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Finding the Fourth Proportional to 13,216.19, 19,824 and 3,220.99

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Solution

The fourth proportional to 13,216.19, 19,824 and 3,220.99 is: 4,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.19 : 19,824 = 3,220.99 : x
  2. Step 2: Convert to fraction form
    13,216.19/19,824 = 3,220.99/x
  3. Step 3: Cross multiply
    13,216.19x = 19,824 × 3,220.99
  4. Step 4: Simplify right side
    13,216.19x = 63,852,806.64
  5. Step 5: Solve for x
    x = 63,852,806.64/13,216.19
  6. Step 6: Final answer
    x = 4,831.41

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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.