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Finding the Fourth Proportional to 23,092.56, 31,860 and 13,019.40

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Solution

The fourth proportional to 23,092.56, 31,860 and 13,019.40 is: 17,962.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.56 : 31,860 = 13,019.40 : x
  2. Step 2: Convert to fraction form
    23,092.56/31,860 = 13,019.40/x
  3. Step 3: Cross multiply
    23,092.56x = 31,860 × 13,019.40
  4. Step 4: Simplify right side
    23,092.56x = 414,798,084
  5. Step 5: Solve for x
    x = 414,798,084/23,092.56
  6. Step 6: Final answer
    x = 17,962.41

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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.