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Finding the Fourth Proportional to 17,323.96, 23,904 and 10,247.80

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Solution

The fourth proportional to 17,323.96, 23,904 and 10,247.80 is: 14,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,323.96 : 23,904 = 10,247.80 : x
  2. Step 2: Convert to fraction form
    17,323.96/23,904 = 10,247.80/x
  3. Step 3: Cross multiply
    17,323.96x = 23,904 × 10,247.80
  4. Step 4: Simplify right side
    17,323.96x = 244,963,411.20
  5. Step 5: Solve for x
    x = 244,963,411.20/17,323.96
  6. Step 6: Final answer
    x = 14,140.15

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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.