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Finding the Fourth Proportional to 17,578, 24,256.48 and 10,504.52

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Solution

The fourth proportional to 17,578, 24,256.48 and 10,504.52 is: 14,495.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578 : 24,256.48 = 10,504.52 : x
  2. Step 2: Convert to fraction form
    17,578/24,256.48 = 10,504.52/x
  3. Step 3: Cross multiply
    17,578x = 24,256.48 × 10,504.52
  4. Step 4: Simplify right side
    17,578x = 254,802,679.29
  5. Step 5: Solve for x
    x = 254,802,679.29/17,578
  6. Step 6: Final answer
    x = 14,495.54

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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.