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Finding the Fourth Proportional to 23,157.84, 31,963.07 and 13,092.13

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Solution

The fourth proportional to 23,157.84, 31,963.07 and 13,092.13 is: 18,070.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.84 : 31,963.07 = 13,092.13 : x
  2. Step 2: Convert to fraction form
    23,157.84/31,963.07 = 13,092.13/x
  3. Step 3: Cross multiply
    23,157.84x = 31,963.07 × 13,092.13
  4. Step 4: Simplify right side
    23,157.84x = 418,464,667.64
  5. Step 5: Solve for x
    x = 418,464,667.64/23,157.84
  6. Step 6: Final answer
    x = 18,070.11

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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.