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Finding the Fourth Proportional to 19,926.57, 29,893.10 and 6,777.57

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Solution

The fourth proportional to 19,926.57, 29,893.10 and 6,777.57 is: 10,167.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.57 : 29,893.10 = 6,777.57 : x
  2. Step 2: Convert to fraction form
    19,926.57/29,893.10 = 6,777.57/x
  3. Step 3: Cross multiply
    19,926.57x = 29,893.10 × 6,777.57
  4. Step 4: Simplify right side
    19,926.57x = 202,602,543.88
  5. Step 5: Solve for x
    x = 202,602,543.88/19,926.57
  6. Step 6: Final answer
    x = 10,167.46

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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.