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Finding the Fourth Proportional to 12,778.61, 17,643.08 and 8,000.42

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Solution

The fourth proportional to 12,778.61, 17,643.08 and 8,000.42 is: 11,045.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.61 : 17,643.08 = 8,000.42 : x
  2. Step 2: Convert to fraction form
    12,778.61/17,643.08 = 8,000.42/x
  3. Step 3: Cross multiply
    12,778.61x = 17,643.08 × 8,000.42
  4. Step 4: Simplify right side
    12,778.61x = 141,151,981.88
  5. Step 5: Solve for x
    x = 141,151,981.88/12,778.61
  6. Step 6: Final answer
    x = 11,045.96

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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.