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Finding the Fourth Proportional to 23,158.76, 31,959.08 and 12,548.39

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Solution

The fourth proportional to 23,158.76, 31,959.08 and 12,548.39 is: 17,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,158.76 : 31,959.08 = 12,548.39 : x
  2. Step 2: Convert to fraction form
    23,158.76/31,959.08 = 12,548.39/x
  3. Step 3: Cross multiply
    23,158.76x = 31,959.08 × 12,548.39
  4. Step 4: Simplify right side
    23,158.76x = 401,034,777.34
  5. Step 5: Solve for x
    x = 401,034,777.34/23,158.76
  6. Step 6: Final answer
    x = 17,316.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.