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Finding the Fourth Proportional to 13,870.84, 20,808.02 and 5,436.28

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Solution

The fourth proportional to 13,870.84, 20,808.02 and 5,436.28 is: 8,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.84 : 20,808.02 = 5,436.28 : x
  2. Step 2: Convert to fraction form
    13,870.84/20,808.02 = 5,436.28/x
  3. Step 3: Cross multiply
    13,870.84x = 20,808.02 × 5,436.28
  4. Step 4: Simplify right side
    13,870.84x = 113,118,222.97
  5. Step 5: Solve for x
    x = 113,118,222.97/13,870.84
  6. Step 6: Final answer
    x = 8,155.11

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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.