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Finding the Fourth Proportional to 13,994.24, 19,305.96 and 8,402

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Solution

The fourth proportional to 13,994.24, 19,305.96 and 8,402 is: 11,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,994.24 : 19,305.96 = 8,402 : x
  2. Step 2: Convert to fraction form
    13,994.24/19,305.96 = 8,402/x
  3. Step 3: Cross multiply
    13,994.24x = 19,305.96 × 8,402
  4. Step 4: Simplify right side
    13,994.24x = 162,208,675.92
  5. Step 5: Solve for x
    x = 162,208,675.92/13,994.24
  6. Step 6: Final answer
    x = 11,591.10

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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.