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Finding the Fourth Proportional to 25,566.60, 38,334.24 and 9,966

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Solution

The fourth proportional to 25,566.60, 38,334.24 and 9,966 is: 14,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566.60 : 38,334.24 = 9,966 : x
  2. Step 2: Convert to fraction form
    25,566.60/38,334.24 = 9,966/x
  3. Step 3: Cross multiply
    25,566.60x = 38,334.24 × 9,966
  4. Step 4: Simplify right side
    25,566.60x = 382,039,035.84
  5. Step 5: Solve for x
    x = 382,039,035.84/25,566.60
  6. Step 6: Final answer
    x = 14,942.90

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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.