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Finding the Fourth Proportional to 24,709.41, 34,096.44 and 14,097

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Solution

The fourth proportional to 24,709.41, 34,096.44 and 14,097 is: 19,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.41 : 34,096.44 = 14,097 : x
  2. Step 2: Convert to fraction form
    24,709.41/34,096.44 = 14,097/x
  3. Step 3: Cross multiply
    24,709.41x = 34,096.44 × 14,097
  4. Step 4: Simplify right side
    24,709.41x = 480,657,514.68
  5. Step 5: Solve for x
    x = 480,657,514.68/24,709.41
  6. Step 6: Final answer
    x = 19,452.41

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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.