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Finding the Fourth Proportional to 14,430.21, 19,914 and 7,969.83

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Solution

The fourth proportional to 14,430.21, 19,914 and 7,969.83 is: 10,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.21 : 19,914 = 7,969.83 : x
  2. Step 2: Convert to fraction form
    14,430.21/19,914 = 7,969.83/x
  3. Step 3: Cross multiply
    14,430.21x = 19,914 × 7,969.83
  4. Step 4: Simplify right side
    14,430.21x = 158,711,095.05
  5. Step 5: Solve for x
    x = 158,711,095.05/14,430.21
  6. Step 6: Final answer
    x = 10,998.53

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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.