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Finding the Fourth Proportional to 25,578.82, 38,364.58 and 8,048.19

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Solution

The fourth proportional to 25,578.82, 38,364.58 and 8,048.19 is: 12,071.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.82 : 38,364.58 = 8,048.19 : x
  2. Step 2: Convert to fraction form
    25,578.82/38,364.58 = 8,048.19/x
  3. Step 3: Cross multiply
    25,578.82x = 38,364.58 × 8,048.19
  4. Step 4: Simplify right side
    25,578.82x = 308,765,429.11
  5. Step 5: Solve for x
    x = 308,765,429.11/25,578.82
  6. Step 6: Final answer
    x = 12,071.14

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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.