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Finding the Fourth Proportional to 14,489, 19,994.82 and 7,865

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Solution

The fourth proportional to 14,489, 19,994.82 and 7,865 is: 10,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,489 : 19,994.82 = 7,865 : x
  2. Step 2: Convert to fraction form
    14,489/19,994.82 = 7,865/x
  3. Step 3: Cross multiply
    14,489x = 19,994.82 × 7,865
  4. Step 4: Simplify right side
    14,489x = 157,259,259.30
  5. Step 5: Solve for x
    x = 157,259,259.30/14,489
  6. Step 6: Final answer
    x = 10,853.70

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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.