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Finding the Fourth Proportional to 30,843.96, 46,258.65 and 14,193.60

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Solution

The fourth proportional to 30,843.96, 46,258.65 and 14,193.60 is: 21,287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.96 : 46,258.65 = 14,193.60 : x
  2. Step 2: Convert to fraction form
    30,843.96/46,258.65 = 14,193.60/x
  3. Step 3: Cross multiply
    30,843.96x = 46,258.65 × 14,193.60
  4. Step 4: Simplify right side
    30,843.96x = 656,576,774.64
  5. Step 5: Solve for x
    x = 656,576,774.64/30,843.96
  6. Step 6: Final answer
    x = 21,287.05

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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.