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Finding the Fourth Proportional to 25,925.24, 38,893.53 and 8,396.84

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Solution

The fourth proportional to 25,925.24, 38,893.53 and 8,396.84 is: 12,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,925.24 : 38,893.53 = 8,396.84 : x
  2. Step 2: Convert to fraction form
    25,925.24/38,893.53 = 8,396.84/x
  3. Step 3: Cross multiply
    25,925.24x = 38,893.53 × 8,396.84
  4. Step 4: Simplify right side
    25,925.24x = 326,582,877.17
  5. Step 5: Solve for x
    x = 326,582,877.17/25,925.24
  6. Step 6: Final answer
    x = 12,597.10

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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.