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Finding the Fourth Proportional to 25,972.32, 38,964.06 and 8,441.76

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Solution

The fourth proportional to 25,972.32, 38,964.06 and 8,441.76 is: 12,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,972.32 : 38,964.06 = 8,441.76 : x
  2. Step 2: Convert to fraction form
    25,972.32/38,964.06 = 8,441.76/x
  3. Step 3: Cross multiply
    25,972.32x = 38,964.06 × 8,441.76
  4. Step 4: Simplify right side
    25,972.32x = 328,925,243.15
  5. Step 5: Solve for x
    x = 328,925,243.15/25,972.32
  6. Step 6: Final answer
    x = 12,664.45

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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.