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Finding the Fourth Proportional to 23,115.98, 31,897.62 and 17,069.42

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Solution

The fourth proportional to 23,115.98, 31,897.62 and 17,069.42 is: 23,554.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.98 : 31,897.62 = 17,069.42 : x
  2. Step 2: Convert to fraction form
    23,115.98/31,897.62 = 17,069.42/x
  3. Step 3: Cross multiply
    23,115.98x = 31,897.62 × 17,069.42
  4. Step 4: Simplify right side
    23,115.98x = 544,473,872.78
  5. Step 5: Solve for x
    x = 544,473,872.78/23,115.98
  6. Step 6: Final answer
    x = 23,554.00

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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.