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Finding the Fourth Proportional to 19,790.76, 27,310.75 and 10,838.64

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Solution

The fourth proportional to 19,790.76, 27,310.75 and 10,838.64 is: 14,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,790.76 : 27,310.75 = 10,838.64 : x
  2. Step 2: Convert to fraction form
    19,790.76/27,310.75 = 10,838.64/x
  3. Step 3: Cross multiply
    19,790.76x = 27,310.75 × 10,838.64
  4. Step 4: Simplify right side
    19,790.76x = 296,011,387.38
  5. Step 5: Solve for x
    x = 296,011,387.38/19,790.76
  6. Step 6: Final answer
    x = 14,957.05

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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.