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Finding the Fourth Proportional to 14,431.83, 19,909.09 and 9,394.21

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Solution

The fourth proportional to 14,431.83, 19,909.09 and 9,394.21 is: 12,959.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.83 : 19,909.09 = 9,394.21 : x
  2. Step 2: Convert to fraction form
    14,431.83/19,909.09 = 9,394.21/x
  3. Step 3: Cross multiply
    14,431.83x = 19,909.09 × 9,394.21
  4. Step 4: Simplify right side
    14,431.83x = 187,030,125.40
  5. Step 5: Solve for x
    x = 187,030,125.40/14,431.83
  6. Step 6: Final answer
    x = 12,959.56

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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.