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Finding the Fourth Proportional to 19,851.16, 29,768.86 and 9,455.64

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Solution

The fourth proportional to 19,851.16, 29,768.86 and 9,455.64 is: 14,179.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,851.16 : 29,768.86 = 9,455.64 : x
  2. Step 2: Convert to fraction form
    19,851.16/29,768.86 = 9,455.64/x
  3. Step 3: Cross multiply
    19,851.16x = 29,768.86 × 9,455.64
  4. Step 4: Simplify right side
    19,851.16x = 281,483,623.37
  5. Step 5: Solve for x
    x = 281,483,623.37/19,851.16
  6. Step 6: Final answer
    x = 14,179.71

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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.