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Finding the Fourth Proportional to 23,274.16, 32,118.84 and 13,338.16

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Solution

The fourth proportional to 23,274.16, 32,118.84 and 13,338.16 is: 18,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,274.16 : 32,118.84 = 13,338.16 : x
  2. Step 2: Convert to fraction form
    23,274.16/32,118.84 = 13,338.16/x
  3. Step 3: Cross multiply
    23,274.16x = 32,118.84 × 13,338.16
  4. Step 4: Simplify right side
    23,274.16x = 428,406,226.93
  5. Step 5: Solve for x
    x = 428,406,226.93/23,274.16
  6. Step 6: Final answer
    x = 18,406.95

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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.