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Finding the Fourth Proportional to 13,974.69, 19,282.53 and 8,004.99

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Solution

The fourth proportional to 13,974.69, 19,282.53 and 8,004.99 is: 11,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.69 : 19,282.53 = 8,004.99 : x
  2. Step 2: Convert to fraction form
    13,974.69/19,282.53 = 8,004.99/x
  3. Step 3: Cross multiply
    13,974.69x = 19,282.53 × 8,004.99
  4. Step 4: Simplify right side
    13,974.69x = 154,356,459.82
  5. Step 5: Solve for x
    x = 154,356,459.82/13,974.69
  6. Step 6: Final answer
    x = 11,045.43

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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.