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Finding the Fourth Proportional to 13,848.84, 20,847.24 and 12,420

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Solution

The fourth proportional to 13,848.84, 20,847.24 and 12,420 is: 18,696.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.84 : 20,847.24 = 12,420 : x
  2. Step 2: Convert to fraction form
    13,848.84/20,847.24 = 12,420/x
  3. Step 3: Cross multiply
    13,848.84x = 20,847.24 × 12,420
  4. Step 4: Simplify right side
    13,848.84x = 258,922,720.80
  5. Step 5: Solve for x
    x = 258,922,720.80/13,848.84
  6. Step 6: Final answer
    x = 18,696.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.