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Finding the Fourth Proportional to 19,833, 27,405.76 and 14,446.06

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Solution

The fourth proportional to 19,833, 27,405.76 and 14,446.06 is: 19,961.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833 : 27,405.76 = 14,446.06 : x
  2. Step 2: Convert to fraction form
    19,833/27,405.76 = 14,446.06/x
  3. Step 3: Cross multiply
    19,833x = 27,405.76 × 14,446.06
  4. Step 4: Simplify right side
    19,833x = 395,905,253.31
  5. Step 5: Solve for x
    x = 395,905,253.31/19,833
  6. Step 6: Final answer
    x = 19,961.94

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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.