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Finding the Fourth Proportional to 24,851.14, 34,296 and 14,242.54

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Solution

The fourth proportional to 24,851.14, 34,296 and 14,242.54 is: 19,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,851.14 : 34,296 = 14,242.54 : x
  2. Step 2: Convert to fraction form
    24,851.14/34,296 = 14,242.54/x
  3. Step 3: Cross multiply
    24,851.14x = 34,296 × 14,242.54
  4. Step 4: Simplify right side
    24,851.14x = 488,462,151.84
  5. Step 5: Solve for x
    x = 488,462,151.84/24,851.14
  6. Step 6: Final answer
    x = 19,655.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.