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Finding the Fourth Proportional to 13,409.85, 20,106.97 and 4,047.06

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Solution

The fourth proportional to 13,409.85, 20,106.97 and 4,047.06 is: 6,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.85 : 20,106.97 = 4,047.06 : x
  2. Step 2: Convert to fraction form
    13,409.85/20,106.97 = 4,047.06/x
  3. Step 3: Cross multiply
    13,409.85x = 20,106.97 × 4,047.06
  4. Step 4: Simplify right side
    13,409.85x = 81,374,179.29
  5. Step 5: Solve for x
    x = 81,374,179.29/13,409.85
  6. Step 6: Final answer
    x = 6,068.24

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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.