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Finding the Fourth Proportional to 21,062.92, 29,071.38 and 14,364.54

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Solution

The fourth proportional to 21,062.92, 29,071.38 and 14,364.54 is: 19,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.92 : 29,071.38 = 14,364.54 : x
  2. Step 2: Convert to fraction form
    21,062.92/29,071.38 = 14,364.54/x
  3. Step 3: Cross multiply
    21,062.92x = 29,071.38 × 14,364.54
  4. Step 4: Simplify right side
    21,062.92x = 417,597,000.87
  5. Step 5: Solve for x
    x = 417,597,000.87/21,062.92
  6. Step 6: Final answer
    x = 19,826.17

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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.