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Finding the Fourth Proportional to 14,459.05, 19,956.83 and 9,414.49

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Solution

The fourth proportional to 14,459.05, 19,956.83 and 9,414.49 is: 12,994.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.05 : 19,956.83 = 9,414.49 : x
  2. Step 2: Convert to fraction form
    14,459.05/19,956.83 = 9,414.49/x
  3. Step 3: Cross multiply
    14,459.05x = 19,956.83 × 9,414.49
  4. Step 4: Simplify right side
    14,459.05x = 187,883,376.47
  5. Step 5: Solve for x
    x = 187,883,376.47/14,459.05
  6. Step 6: Final answer
    x = 12,994.17

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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.