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Finding the Fourth Proportional to 25,466.58, 38,178.14 and 9,662.76

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Solution

The fourth proportional to 25,466.58, 38,178.14 and 9,662.76 is: 14,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,466.58 : 38,178.14 = 9,662.76 : x
  2. Step 2: Convert to fraction form
    25,466.58/38,178.14 = 9,662.76/x
  3. Step 3: Cross multiply
    25,466.58x = 38,178.14 × 9,662.76
  4. Step 4: Simplify right side
    25,466.58x = 368,906,204.07
  5. Step 5: Solve for x
    x = 368,906,204.07/25,466.58
  6. Step 6: Final answer
    x = 14,485.90

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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.