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Finding the Fourth Proportional to 17,672.54, 24,388.44 and 9,715.50

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Solution

The fourth proportional to 17,672.54, 24,388.44 and 9,715.50 is: 13,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,672.54 : 24,388.44 = 9,715.50 : x
  2. Step 2: Convert to fraction form
    17,672.54/24,388.44 = 9,715.50/x
  3. Step 3: Cross multiply
    17,672.54x = 24,388.44 × 9,715.50
  4. Step 4: Simplify right side
    17,672.54x = 236,945,888.82
  5. Step 5: Solve for x
    x = 236,945,888.82/17,672.54
  6. Step 6: Final answer
    x = 13,407.58

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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.