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Finding the Fourth Proportional to 14,456.76, 19,942.95 and 9,429.39

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Solution

The fourth proportional to 14,456.76, 19,942.95 and 9,429.39 is: 13,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.76 : 19,942.95 = 9,429.39 : x
  2. Step 2: Convert to fraction form
    14,456.76/19,942.95 = 9,429.39/x
  3. Step 3: Cross multiply
    14,456.76x = 19,942.95 × 9,429.39
  4. Step 4: Simplify right side
    14,456.76x = 188,049,853.30
  5. Step 5: Solve for x
    x = 188,049,853.30/14,456.76
  6. Step 6: Final answer
    x = 13,007.75

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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.