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Finding the Fourth Proportional to 23,457.92, 32,372.21 and 12,848

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Solution

The fourth proportional to 23,457.92, 32,372.21 and 12,848 is: 17,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.92 : 32,372.21 = 12,848 : x
  2. Step 2: Convert to fraction form
    23,457.92/32,372.21 = 12,848/x
  3. Step 3: Cross multiply
    23,457.92x = 32,372.21 × 12,848
  4. Step 4: Simplify right side
    23,457.92x = 415,918,154.08
  5. Step 5: Solve for x
    x = 415,918,154.08/23,457.92
  6. Step 6: Final answer
    x = 17,730.39

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Why These Related Problems?

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