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Finding the Fourth Proportional to 12,906.80, 19,374.60 and 7,715.60

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Solution

The fourth proportional to 12,906.80, 19,374.60 and 7,715.60 is: 11,582.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.80 : 19,374.60 = 7,715.60 : x
  2. Step 2: Convert to fraction form
    12,906.80/19,374.60 = 7,715.60/x
  3. Step 3: Cross multiply
    12,906.80x = 19,374.60 × 7,715.60
  4. Step 4: Simplify right side
    12,906.80x = 149,486,663.76
  5. Step 5: Solve for x
    x = 149,486,663.76/12,906.80
  6. Step 6: Final answer
    x = 11,582.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.