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Finding the Fourth Proportional to 13,965.96, 19,272.78 and 7,678.20

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Solution

The fourth proportional to 13,965.96, 19,272.78 and 7,678.20 is: 10,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,965.96 : 19,272.78 = 7,678.20 : x
  2. Step 2: Convert to fraction form
    13,965.96/19,272.78 = 7,678.20/x
  3. Step 3: Cross multiply
    13,965.96x = 19,272.78 × 7,678.20
  4. Step 4: Simplify right side
    13,965.96x = 147,980,259.40
  5. Step 5: Solve for x
    x = 147,980,259.40/13,965.96
  6. Step 6: Final answer
    x = 10,595.78

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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.