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Finding the Fourth Proportional to 23,530, 32,471.40 and 13,594

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Solution

The fourth proportional to 23,530, 32,471.40 and 13,594 is: 18,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530 : 32,471.40 = 13,594 : x
  2. Step 2: Convert to fraction form
    23,530/32,471.40 = 13,594/x
  3. Step 3: Cross multiply
    23,530x = 32,471.40 × 13,594
  4. Step 4: Simplify right side
    23,530x = 441,416,211.60
  5. Step 5: Solve for x
    x = 441,416,211.60/23,530
  6. Step 6: Final answer
    x = 18,759.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.