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Finding the Fourth Proportional to 23,158.53, 31,958.80 and 12,548.16

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Solution

The fourth proportional to 23,158.53, 31,958.80 and 12,548.16 is: 17,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.53 : 31,958.80 = 12,548.16 : x
  2. Step 2: Convert to fraction form
    23,158.53/31,958.80 = 12,548.16/x
  3. Step 3: Cross multiply
    23,158.53x = 31,958.80 × 12,548.16
  4. Step 4: Simplify right side
    23,158.53x = 401,024,135.81
  5. Step 5: Solve for x
    x = 401,024,135.81/23,158.53
  6. Step 6: Final answer
    x = 17,316.48

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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.