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Finding the Fourth Proportional to 12,845.60, 19,176.40 and 11,932

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Solution

The fourth proportional to 12,845.60, 19,176.40 and 11,932 is: 17,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,845.60 : 19,176.40 = 11,932 : x
  2. Step 2: Convert to fraction form
    12,845.60/19,176.40 = 11,932/x
  3. Step 3: Cross multiply
    12,845.60x = 19,176.40 × 11,932
  4. Step 4: Simplify right side
    12,845.60x = 228,812,804.80
  5. Step 5: Solve for x
    x = 228,812,804.80/12,845.60
  6. Step 6: Final answer
    x = 17,812.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.