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Finding the Fourth Proportional to 16,876.76, 23,288.90 and 10,164.56

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Solution

The fourth proportional to 16,876.76, 23,288.90 and 10,164.56 is: 14,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,876.76 : 23,288.90 = 10,164.56 : x
  2. Step 2: Convert to fraction form
    16,876.76/23,288.90 = 10,164.56/x
  3. Step 3: Cross multiply
    16,876.76x = 23,288.90 × 10,164.56
  4. Step 4: Simplify right side
    16,876.76x = 236,721,421.38
  5. Step 5: Solve for x
    x = 236,721,421.38/16,876.76
  6. Step 6: Final answer
    x = 14,026.47

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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.