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Finding the Fourth Proportional to 25,578.99, 38,368.89 and 12,428.64

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Solution

The fourth proportional to 25,578.99, 38,368.89 and 12,428.64 is: 18,643.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,578.99 : 38,368.89 = 12,428.64 : x
  2. Step 2: Convert to fraction form
    25,578.99/38,368.89 = 12,428.64/x
  3. Step 3: Cross multiply
    25,578.99x = 38,368.89 × 12,428.64
  4. Step 4: Simplify right side
    25,578.99x = 476,873,121.01
  5. Step 5: Solve for x
    x = 476,873,121.01/25,578.99
  6. Step 6: Final answer
    x = 18,643.16

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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.