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Finding the Fourth Proportional to 12,323.46, 17,005.41 and 7,017.24

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Solution

The fourth proportional to 12,323.46, 17,005.41 and 7,017.24 is: 9,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.46 : 17,005.41 = 7,017.24 : x
  2. Step 2: Convert to fraction form
    12,323.46/17,005.41 = 7,017.24/x
  3. Step 3: Cross multiply
    12,323.46x = 17,005.41 × 7,017.24
  4. Step 4: Simplify right side
    12,323.46x = 119,331,043.27
  5. Step 5: Solve for x
    x = 119,331,043.27/12,323.46
  6. Step 6: Final answer
    x = 9,683.24

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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.