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Finding the Fourth Proportional to 13,816.19, 20,708.06 and 6,405.05

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Solution

The fourth proportional to 13,816.19, 20,708.06 and 6,405.05 is: 9,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.19 : 20,708.06 = 6,405.05 : x
  2. Step 2: Convert to fraction form
    13,816.19/20,708.06 = 6,405.05/x
  3. Step 3: Cross multiply
    13,816.19x = 20,708.06 × 6,405.05
  4. Step 4: Simplify right side
    13,816.19x = 132,636,159.70
  5. Step 5: Solve for x
    x = 132,636,159.70/13,816.19
  6. Step 6: Final answer
    x = 9,600.05

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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.