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Finding the Fourth Proportional to 22,964.64, 31,692.24 and 17,988

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Solution

The fourth proportional to 22,964.64, 31,692.24 and 17,988 is: 24,824.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,964.64 : 31,692.24 = 17,988 : x
  2. Step 2: Convert to fraction form
    22,964.64/31,692.24 = 17,988/x
  3. Step 3: Cross multiply
    22,964.64x = 31,692.24 × 17,988
  4. Step 4: Simplify right side
    22,964.64x = 570,080,013.12
  5. Step 5: Solve for x
    x = 570,080,013.12/22,964.64
  6. Step 6: Final answer
    x = 24,824.25

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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.