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Finding the Fourth Proportional to 23,457.60, 32,371.65 and 12,847.68

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Solution

The fourth proportional to 23,457.60, 32,371.65 and 12,847.68 is: 17,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.60 : 32,371.65 = 12,847.68 : x
  2. Step 2: Convert to fraction form
    23,457.60/32,371.65 = 12,847.68/x
  3. Step 3: Cross multiply
    23,457.60x = 32,371.65 × 12,847.68
  4. Step 4: Simplify right side
    23,457.60x = 415,900,600.27
  5. Step 5: Solve for x
    x = 415,900,600.27/23,457.60
  6. Step 6: Final answer
    x = 17,729.89

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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.