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Finding the Fourth Proportional to 23,158.69, 31,959.02 and 12,548.32

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Solution

The fourth proportional to 23,158.69, 31,959.02 and 12,548.32 is: 17,316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.69 : 31,959.02 = 12,548.32 : x
  2. Step 2: Convert to fraction form
    23,158.69/31,959.02 = 12,548.32/x
  3. Step 3: Cross multiply
    23,158.69x = 31,959.02 × 12,548.32
  4. Step 4: Simplify right side
    23,158.69x = 401,031,961.32
  5. Step 5: Solve for x
    x = 401,031,961.32/23,158.69
  6. Step 6: Final answer
    x = 17,316.70

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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.