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Finding the Fourth Proportional to 19,590, 27,034.20 and 10,758

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Solution

The fourth proportional to 19,590, 27,034.20 and 10,758 is: 14,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,590 : 27,034.20 = 10,758 : x
  2. Step 2: Convert to fraction form
    19,590/27,034.20 = 10,758/x
  3. Step 3: Cross multiply
    19,590x = 27,034.20 × 10,758
  4. Step 4: Simplify right side
    19,590x = 290,833,923.60
  5. Step 5: Solve for x
    x = 290,833,923.60/19,590
  6. Step 6: Final answer
    x = 14,846.04

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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.