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Finding the Fourth Proportional to 13,825.99, 19,079.05 and 7,856.83

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Solution

The fourth proportional to 13,825.99, 19,079.05 and 7,856.83 is: 10,841.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.99 : 19,079.05 = 7,856.83 : x
  2. Step 2: Convert to fraction form
    13,825.99/19,079.05 = 7,856.83/x
  3. Step 3: Cross multiply
    13,825.99x = 19,079.05 × 7,856.83
  4. Step 4: Simplify right side
    13,825.99x = 149,900,852.41
  5. Step 5: Solve for x
    x = 149,900,852.41/13,825.99
  6. Step 6: Final answer
    x = 10,841.96

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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.