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Finding the Fourth Proportional to 19,596, 27,042.48 and 10,764

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Solution

The fourth proportional to 19,596, 27,042.48 and 10,764 is: 14,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,596 : 27,042.48 = 10,764 : x
  2. Step 2: Convert to fraction form
    19,596/27,042.48 = 10,764/x
  3. Step 3: Cross multiply
    19,596x = 27,042.48 × 10,764
  4. Step 4: Simplify right side
    19,596x = 291,085,254.72
  5. Step 5: Solve for x
    x = 291,085,254.72/19,596
  6. Step 6: Final answer
    x = 14,854.32

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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.