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Finding the Fourth Proportional to 25,852.16, 38,778.24 and 8,322.32

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Solution

The fourth proportional to 25,852.16, 38,778.24 and 8,322.32 is: 12,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,852.16 : 38,778.24 = 8,322.32 : x
  2. Step 2: Convert to fraction form
    25,852.16/38,778.24 = 8,322.32/x
  3. Step 3: Cross multiply
    25,852.16x = 38,778.24 × 8,322.32
  4. Step 4: Simplify right side
    25,852.16x = 322,724,922.32
  5. Step 5: Solve for x
    x = 322,724,922.32/25,852.16
  6. Step 6: Final answer
    x = 12,483.48

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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.