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Finding the Fourth Proportional to 19,675.81, 29,522.42 and 10,313.59

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Solution

The fourth proportional to 19,675.81, 29,522.42 and 10,313.59 is: 15,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.81 : 29,522.42 = 10,313.59 : x
  2. Step 2: Convert to fraction form
    19,675.81/29,522.42 = 10,313.59/x
  3. Step 3: Cross multiply
    19,675.81x = 29,522.42 × 10,313.59
  4. Step 4: Simplify right side
    19,675.81x = 304,482,135.69
  5. Step 5: Solve for x
    x = 304,482,135.69/19,675.81
  6. Step 6: Final answer
    x = 15,474.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.