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Finding the Fourth Proportional to 23,466.96, 32,384.52 and 12,856.56

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Solution

The fourth proportional to 23,466.96, 32,384.52 and 12,856.56 is: 17,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.96 : 32,384.52 = 12,856.56 : x
  2. Step 2: Convert to fraction form
    23,466.96/32,384.52 = 12,856.56/x
  3. Step 3: Cross multiply
    23,466.96x = 32,384.52 × 12,856.56
  4. Step 4: Simplify right side
    23,466.96x = 416,353,524.45
  5. Step 5: Solve for x
    x = 416,353,524.45/23,466.96
  6. Step 6: Final answer
    x = 17,742.12

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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.