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Finding the Fourth Proportional to 23,349.32, 32,222.02 and 12,738.96

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Solution

The fourth proportional to 23,349.32, 32,222.02 and 12,738.96 is: 17,579.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.32 : 32,222.02 = 12,738.96 : x
  2. Step 2: Convert to fraction form
    23,349.32/32,222.02 = 12,738.96/x
  3. Step 3: Cross multiply
    23,349.32x = 32,222.02 × 12,738.96
  4. Step 4: Simplify right side
    23,349.32x = 410,475,023.90
  5. Step 5: Solve for x
    x = 410,475,023.90/23,349.32
  6. Step 6: Final answer
    x = 17,579.74

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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.