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Finding the Fourth Proportional to 13,594.79, 20,373.39 and 9,816.46

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Solution

The fourth proportional to 13,594.79, 20,373.39 and 9,816.46 is: 14,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.79 : 20,373.39 = 9,816.46 : x
  2. Step 2: Convert to fraction form
    13,594.79/20,373.39 = 9,816.46/x
  3. Step 3: Cross multiply
    13,594.79x = 20,373.39 × 9,816.46
  4. Step 4: Simplify right side
    13,594.79x = 199,994,517.07
  5. Step 5: Solve for x
    x = 199,994,517.07/13,594.79
  6. Step 6: Final answer
    x = 14,711.11

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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.