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Finding the Fourth Proportional to 14,399.04, 19,871.09 and 8,430.96

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Solution

The fourth proportional to 14,399.04, 19,871.09 and 8,430.96 is: 11,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.04 : 19,871.09 = 8,430.96 : x
  2. Step 2: Convert to fraction form
    14,399.04/19,871.09 = 8,430.96/x
  3. Step 3: Cross multiply
    14,399.04x = 19,871.09 × 8,430.96
  4. Step 4: Simplify right side
    14,399.04x = 167,532,364.95
  5. Step 5: Solve for x
    x = 167,532,364.95/14,399.04
  6. Step 6: Final answer
    x = 11,634.97

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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.