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Finding the Fourth Proportional to 13,821.84, 20,718.48 and 6,420.27

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Solution

The fourth proportional to 13,821.84, 20,718.48 and 6,420.27 is: 9,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.84 : 20,718.48 = 6,420.27 : x
  2. Step 2: Convert to fraction form
    13,821.84/20,718.48 = 6,420.27/x
  3. Step 3: Cross multiply
    13,821.84x = 20,718.48 × 6,420.27
  4. Step 4: Simplify right side
    13,821.84x = 133,018,235.59
  5. Step 5: Solve for x
    x = 133,018,235.59/13,821.84
  6. Step 6: Final answer
    x = 9,623.77

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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.