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Finding the Fourth Proportional to 23,854.70, 32,912.80 and 14,911.30

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Solution

The fourth proportional to 23,854.70, 32,912.80 and 14,911.30 is: 20,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.70 : 32,912.80 = 14,911.30 : x
  2. Step 2: Convert to fraction form
    23,854.70/32,912.80 = 14,911.30/x
  3. Step 3: Cross multiply
    23,854.70x = 32,912.80 × 14,911.30
  4. Step 4: Simplify right side
    23,854.70x = 490,772,634.64
  5. Step 5: Solve for x
    x = 490,772,634.64/23,854.70
  6. Step 6: Final answer
    x = 20,573.41

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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.