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Finding the Fourth Proportional to 15,846.60, 23,769.90 and 13,902.60

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Solution

The fourth proportional to 15,846.60, 23,769.90 and 13,902.60 is: 20,853.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,846.60 : 23,769.90 = 13,902.60 : x
  2. Step 2: Convert to fraction form
    15,846.60/23,769.90 = 13,902.60/x
  3. Step 3: Cross multiply
    15,846.60x = 23,769.90 × 13,902.60
  4. Step 4: Simplify right side
    15,846.60x = 330,463,411.74
  5. Step 5: Solve for x
    x = 330,463,411.74/15,846.60
  6. Step 6: Final answer
    x = 20,853.90

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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.