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Finding the Fourth Proportional to 25,859.16, 38,788.74 and 8,329.32

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Solution

The fourth proportional to 25,859.16, 38,788.74 and 8,329.32 is: 12,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.16 : 38,788.74 = 8,329.32 : x
  2. Step 2: Convert to fraction form
    25,859.16/38,788.74 = 8,329.32/x
  3. Step 3: Cross multiply
    25,859.16x = 38,788.74 × 8,329.32
  4. Step 4: Simplify right side
    25,859.16x = 323,083,827.86
  5. Step 5: Solve for x
    x = 323,083,827.86/25,859.16
  6. Step 6: Final answer
    x = 12,493.98

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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.