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Finding the Fourth Proportional to 25,548.60, 38,322.73 and 9,966.23

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Solution

The fourth proportional to 25,548.60, 38,322.73 and 9,966.23 is: 14,949.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.60 : 38,322.73 = 9,966.23 : x
  2. Step 2: Convert to fraction form
    25,548.60/38,322.73 = 9,966.23/x
  3. Step 3: Cross multiply
    25,548.60x = 38,322.73 × 9,966.23
  4. Step 4: Simplify right side
    25,548.60x = 381,933,066.09
  5. Step 5: Solve for x
    x = 381,933,066.09/25,548.60
  6. Step 6: Final answer
    x = 14,949.27

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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.