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Finding the Fourth Proportional to 19,653.76, 27,122 and 10,701.24

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Solution

The fourth proportional to 19,653.76, 27,122 and 10,701.24 is: 14,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.76 : 27,122 = 10,701.24 : x
  2. Step 2: Convert to fraction form
    19,653.76/27,122 = 10,701.24/x
  3. Step 3: Cross multiply
    19,653.76x = 27,122 × 10,701.24
  4. Step 4: Simplify right side
    19,653.76x = 290,239,031.28
  5. Step 5: Solve for x
    x = 290,239,031.28/19,653.76
  6. Step 6: Final answer
    x = 14,767.61

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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.