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Finding the Fourth Proportional to 38,892, 58,346.64 and 14,268

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Solution

The fourth proportional to 38,892, 58,346.64 and 14,268 is: 21,405.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,892 : 58,346.64 = 14,268 : x
  2. Step 2: Convert to fraction form
    38,892/58,346.64 = 14,268/x
  3. Step 3: Cross multiply
    38,892x = 58,346.64 × 14,268
  4. Step 4: Simplify right side
    38,892x = 832,489,859.52
  5. Step 5: Solve for x
    x = 832,489,859.52/38,892
  6. Step 6: Final answer
    x = 21,405.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.