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Finding the Fourth Proportional to 13,804.84, 20,707.02 and 3,416.56

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Solution

The fourth proportional to 13,804.84, 20,707.02 and 3,416.56 is: 5,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.84 : 20,707.02 = 3,416.56 : x
  2. Step 2: Convert to fraction form
    13,804.84/20,707.02 = 3,416.56/x
  3. Step 3: Cross multiply
    13,804.84x = 20,707.02 × 3,416.56
  4. Step 4: Simplify right side
    13,804.84x = 70,746,776.25
  5. Step 5: Solve for x
    x = 70,746,776.25/13,804.84
  6. Step 6: Final answer
    x = 5,124.78

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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.