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Finding the Fourth Proportional to 12,902.72, 17,766 and 11,300.12

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Solution

The fourth proportional to 12,902.72, 17,766 and 11,300.12 is: 15,559.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.72 : 17,766 = 11,300.12 : x
  2. Step 2: Convert to fraction form
    12,902.72/17,766 = 11,300.12/x
  3. Step 3: Cross multiply
    12,902.72x = 17,766 × 11,300.12
  4. Step 4: Simplify right side
    12,902.72x = 200,757,931.92
  5. Step 5: Solve for x
    x = 200,757,931.92/12,902.72
  6. Step 6: Final answer
    x = 15,559.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.