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Finding the Fourth Proportional to 12,857.93, 19,294.18 and 5,072.21

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Solution

The fourth proportional to 12,857.93, 19,294.18 and 5,072.21 is: 7,611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,857.93 : 19,294.18 = 5,072.21 : x
  2. Step 2: Convert to fraction form
    12,857.93/19,294.18 = 5,072.21/x
  3. Step 3: Cross multiply
    12,857.93x = 19,294.18 × 5,072.21
  4. Step 4: Simplify right side
    12,857.93x = 97,864,132.74
  5. Step 5: Solve for x
    x = 97,864,132.74/12,857.93
  6. Step 6: Final answer
    x = 7,611.19

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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.