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Finding the Fourth Proportional to 22,692.64, 31,316.58 and 13,741.84

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Solution

The fourth proportional to 22,692.64, 31,316.58 and 13,741.84 is: 18,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,692.64 : 31,316.58 = 13,741.84 : x
  2. Step 2: Convert to fraction form
    22,692.64/31,316.58 = 13,741.84/x
  3. Step 3: Cross multiply
    22,692.64x = 31,316.58 × 13,741.84
  4. Step 4: Simplify right side
    22,692.64x = 430,347,431.71
  5. Step 5: Solve for x
    x = 430,347,431.71/22,692.64
  6. Step 6: Final answer
    x = 18,964.19

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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.