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Finding the Fourth Proportional to 23,457.48, 32,372.10 and 12,847.70

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Solution

The fourth proportional to 23,457.48, 32,372.10 and 12,847.70 is: 17,730.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.48 : 32,372.10 = 12,847.70 : x
  2. Step 2: Convert to fraction form
    23,457.48/32,372.10 = 12,847.70/x
  3. Step 3: Cross multiply
    23,457.48x = 32,372.10 × 12,847.70
  4. Step 4: Simplify right side
    23,457.48x = 415,906,867.31
  5. Step 5: Solve for x
    x = 415,906,867.31/23,457.48
  6. Step 6: Final answer
    x = 17,730.24

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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.