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Finding the Fourth Proportional to 22,577.31, 31,157.01 and 13,017

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Solution

The fourth proportional to 22,577.31, 31,157.01 and 13,017 is: 17,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.31 : 31,157.01 = 13,017 : x
  2. Step 2: Convert to fraction form
    22,577.31/31,157.01 = 13,017/x
  3. Step 3: Cross multiply
    22,577.31x = 31,157.01 × 13,017
  4. Step 4: Simplify right side
    22,577.31x = 405,570,799.17
  5. Step 5: Solve for x
    x = 405,570,799.17/22,577.31
  6. Step 6: Final answer
    x = 17,963.65

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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.