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Finding the Fourth Proportional to 12,783.30, 19,142.55 and 10,191.30

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Solution

The fourth proportional to 12,783.30, 19,142.55 and 10,191.30 is: 15,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.30 : 19,142.55 = 10,191.30 : x
  2. Step 2: Convert to fraction form
    12,783.30/19,142.55 = 10,191.30/x
  3. Step 3: Cross multiply
    12,783.30x = 19,142.55 × 10,191.30
  4. Step 4: Simplify right side
    12,783.30x = 195,087,469.82
  5. Step 5: Solve for x
    x = 195,087,469.82/12,783.30
  6. Step 6: Final answer
    x = 15,261.12

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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.