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Finding the Fourth Proportional to 17,123.35, 23,629.75 and 9,569.71

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Solution

The fourth proportional to 17,123.35, 23,629.75 and 9,569.71 is: 13,205.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,123.35 : 23,629.75 = 9,569.71 : x
  2. Step 2: Convert to fraction form
    17,123.35/23,629.75 = 9,569.71/x
  3. Step 3: Cross multiply
    17,123.35x = 23,629.75 × 9,569.71
  4. Step 4: Simplify right side
    17,123.35x = 226,129,688.88
  5. Step 5: Solve for x
    x = 226,129,688.88/17,123.35
  6. Step 6: Final answer
    x = 13,205.93

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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.