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Finding the Fourth Proportional to 25,778.16, 38,667.60 and 7,310.16

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Solution

The fourth proportional to 25,778.16, 38,667.60 and 7,310.16 is: 10,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.16 : 38,667.60 = 7,310.16 : x
  2. Step 2: Convert to fraction form
    25,778.16/38,667.60 = 7,310.16/x
  3. Step 3: Cross multiply
    25,778.16x = 38,667.60 × 7,310.16
  4. Step 4: Simplify right side
    25,778.16x = 282,666,342.82
  5. Step 5: Solve for x
    x = 282,666,342.82/25,778.16
  6. Step 6: Final answer
    x = 10,965.34

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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.