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Finding the Fourth Proportional to 17,466.78, 24,104.68 and 9,509.52

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Solution

The fourth proportional to 17,466.78, 24,104.68 and 9,509.52 is: 13,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466.78 : 24,104.68 = 9,509.52 : x
  2. Step 2: Convert to fraction form
    17,466.78/24,104.68 = 9,509.52/x
  3. Step 3: Cross multiply
    17,466.78x = 24,104.68 × 9,509.52
  4. Step 4: Simplify right side
    17,466.78x = 229,223,936.55
  5. Step 5: Solve for x
    x = 229,223,936.55/17,466.78
  6. Step 6: Final answer
    x = 13,123.42

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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.