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Finding the Fourth Proportional to 12,856.93, 19,292.68 and 5,071.21

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Solution

The fourth proportional to 12,856.93, 19,292.68 and 5,071.21 is: 7,609.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.93 : 19,292.68 = 5,071.21 : x
  2. Step 2: Convert to fraction form
    12,856.93/19,292.68 = 5,071.21/x
  3. Step 3: Cross multiply
    12,856.93x = 19,292.68 × 5,071.21
  4. Step 4: Simplify right side
    12,856.93x = 97,837,189.85
  5. Step 5: Solve for x
    x = 97,837,189.85/12,856.93
  6. Step 6: Final answer
    x = 7,609.69

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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.