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Finding the Fourth Proportional to 14,259.98, 19,678.65 and 8,211.41

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Solution

The fourth proportional to 14,259.98, 19,678.65 and 8,211.41 is: 11,331.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.98 : 19,678.65 = 8,211.41 : x
  2. Step 2: Convert to fraction form
    14,259.98/19,678.65 = 8,211.41/x
  3. Step 3: Cross multiply
    14,259.98x = 19,678.65 × 8,211.41
  4. Step 4: Simplify right side
    14,259.98x = 161,589,365.00
  5. Step 5: Solve for x
    x = 161,589,365.00/14,259.98
  6. Step 6: Final answer
    x = 11,331.67

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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.