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Finding the Fourth Proportional to 19,592, 27,036.96 and 10,760

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Solution

The fourth proportional to 19,592, 27,036.96 and 10,760 is: 14,848.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,592 : 27,036.96 = 10,760 : x
  2. Step 2: Convert to fraction form
    19,592/27,036.96 = 10,760/x
  3. Step 3: Cross multiply
    19,592x = 27,036.96 × 10,760
  4. Step 4: Simplify right side
    19,592x = 290,917,689.60
  5. Step 5: Solve for x
    x = 290,917,689.60/19,592
  6. Step 6: Final answer
    x = 14,848.80

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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.