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Finding the Fourth Proportional to 17,897.90, 24,722.36 and 13,623

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Solution

The fourth proportional to 17,897.90, 24,722.36 and 13,623 is: 18,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,897.90 : 24,722.36 = 13,623 : x
  2. Step 2: Convert to fraction form
    17,897.90/24,722.36 = 13,623/x
  3. Step 3: Cross multiply
    17,897.90x = 24,722.36 × 13,623
  4. Step 4: Simplify right side
    17,897.90x = 336,792,710.28
  5. Step 5: Solve for x
    x = 336,792,710.28/17,897.90
  6. Step 6: Final answer
    x = 18,817.44

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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.