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Finding the Fourth Proportional to 12,667.59, 19,023.30 and 7,766.01

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Solution

The fourth proportional to 12,667.59, 19,023.30 and 7,766.01 is: 11,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.59 : 19,023.30 = 7,766.01 : x
  2. Step 2: Convert to fraction form
    12,667.59/19,023.30 = 7,766.01/x
  3. Step 3: Cross multiply
    12,667.59x = 19,023.30 × 7,766.01
  4. Step 4: Simplify right side
    12,667.59x = 147,735,138.03
  5. Step 5: Solve for x
    x = 147,735,138.03/12,667.59
  6. Step 6: Final answer
    x = 11,662.45

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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.