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Finding the Fourth Proportional to 13,994.96, 19,295.12 and 11,467.76

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Solution

The fourth proportional to 13,994.96, 19,295.12 and 11,467.76 is: 15,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.96 : 19,295.12 = 11,467.76 : x
  2. Step 2: Convert to fraction form
    13,994.96/19,295.12 = 11,467.76/x
  3. Step 3: Cross multiply
    13,994.96x = 19,295.12 × 11,467.76
  4. Step 4: Simplify right side
    13,994.96x = 221,271,805.33
  5. Step 5: Solve for x
    x = 221,271,805.33/13,994.96
  6. Step 6: Final answer
    x = 15,810.82

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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.