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Finding the Fourth Proportional to 13,965.81, 19,272.33 and 7,678.14

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Solution

The fourth proportional to 13,965.81, 19,272.33 and 7,678.14 is: 10,595.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.81 : 19,272.33 = 7,678.14 : x
  2. Step 2: Convert to fraction form
    13,965.81/19,272.33 = 7,678.14/x
  3. Step 3: Cross multiply
    13,965.81x = 19,272.33 × 7,678.14
  4. Step 4: Simplify right side
    13,965.81x = 147,975,647.87
  5. Step 5: Solve for x
    x = 147,975,647.87/13,965.81
  6. Step 6: Final answer
    x = 10,595.57

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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.