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Finding the Fourth Proportional to 23,802.62, 32,814.16 and 17,076.98

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Solution

The fourth proportional to 23,802.62, 32,814.16 and 17,076.98 is: 23,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,802.62 : 32,814.16 = 17,076.98 : x
  2. Step 2: Convert to fraction form
    23,802.62/32,814.16 = 17,076.98/x
  3. Step 3: Cross multiply
    23,802.62x = 32,814.16 × 17,076.98
  4. Step 4: Simplify right side
    23,802.62x = 560,366,754.04
  5. Step 5: Solve for x
    x = 560,366,754.04/23,802.62
  6. Step 6: Final answer
    x = 23,542.23

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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.