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Finding the Fourth Proportional to 12,783.42, 19,150.29 and 7,219.53

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Solution

The fourth proportional to 12,783.42, 19,150.29 and 7,219.53 is: 10,815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.42 : 19,150.29 = 7,219.53 : x
  2. Step 2: Convert to fraction form
    12,783.42/19,150.29 = 7,219.53/x
  3. Step 3: Cross multiply
    12,783.42x = 19,150.29 × 7,219.53
  4. Step 4: Simplify right side
    12,783.42x = 138,256,093.16
  5. Step 5: Solve for x
    x = 138,256,093.16/12,783.42
  6. Step 6: Final answer
    x = 10,815.27

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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.