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Finding the Fourth Proportional to 12,157.40, 18,223.32 and 5,135.96

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Solution

The fourth proportional to 12,157.40, 18,223.32 and 5,135.96 is: 7,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.40 : 18,223.32 = 5,135.96 : x
  2. Step 2: Convert to fraction form
    12,157.40/18,223.32 = 5,135.96/x
  3. Step 3: Cross multiply
    12,157.40x = 18,223.32 × 5,135.96
  4. Step 4: Simplify right side
    12,157.40x = 93,594,242.59
  5. Step 5: Solve for x
    x = 93,594,242.59/12,157.40
  6. Step 6: Final answer
    x = 7,698.54

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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.