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Finding the Fourth Proportional to 23,458.60, 32,371.41 and 12,847.60

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Solution

The fourth proportional to 23,458.60, 32,371.41 and 12,847.60 is: 17,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.60 : 32,371.41 = 12,847.60 : x
  2. Step 2: Convert to fraction form
    23,458.60/32,371.41 = 12,847.60/x
  3. Step 3: Cross multiply
    23,458.60x = 32,371.41 × 12,847.60
  4. Step 4: Simplify right side
    23,458.60x = 415,894,927.12
  5. Step 5: Solve for x
    x = 415,894,927.12/23,458.60
  6. Step 6: Final answer
    x = 17,728.89

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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.