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Finding the Fourth Proportional to 25,897.29, 38,846.16 and 8,367.12

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Solution

The fourth proportional to 25,897.29, 38,846.16 and 8,367.12 is: 12,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.29 : 38,846.16 = 8,367.12 : x
  2. Step 2: Convert to fraction form
    25,897.29/38,846.16 = 8,367.12/x
  3. Step 3: Cross multiply
    25,897.29x = 38,846.16 × 8,367.12
  4. Step 4: Simplify right side
    25,897.29x = 325,030,482.26
  5. Step 5: Solve for x
    x = 325,030,482.26/25,897.29
  6. Step 6: Final answer
    x = 12,550.75

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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.