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Finding the Fourth Proportional to 12,123.36, 16,730.64 and 6,819.20

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Solution

The fourth proportional to 12,123.36, 16,730.64 and 6,819.20 is: 9,410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.36 : 16,730.64 = 6,819.20 : x
  2. Step 2: Convert to fraction form
    12,123.36/16,730.64 = 6,819.20/x
  3. Step 3: Cross multiply
    12,123.36x = 16,730.64 × 6,819.20
  4. Step 4: Simplify right side
    12,123.36x = 114,089,580.29
  5. Step 5: Solve for x
    x = 114,089,580.29/12,123.36
  6. Step 6: Final answer
    x = 9,410.72

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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.