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Finding the Fourth Proportional to 25,958.09, 38,942 and 8,423.21

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Solution

The fourth proportional to 25,958.09, 38,942 and 8,423.21 is: 12,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958.09 : 38,942 = 8,423.21 : x
  2. Step 2: Convert to fraction form
    25,958.09/38,942 = 8,423.21/x
  3. Step 3: Cross multiply
    25,958.09x = 38,942 × 8,423.21
  4. Step 4: Simplify right side
    25,958.09x = 328,016,643.82
  5. Step 5: Solve for x
    x = 328,016,643.82/25,958.09
  6. Step 6: Final answer
    x = 12,636.39

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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.