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Finding the Fourth Proportional to 19,653.75, 27,122 and 10,701.23

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Solution

The fourth proportional to 19,653.75, 27,122 and 10,701.23 is: 14,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,653.75 : 27,122 = 10,701.23 : x
  2. Step 2: Convert to fraction form
    19,653.75/27,122 = 10,701.23/x
  3. Step 3: Cross multiply
    19,653.75x = 27,122 × 10,701.23
  4. Step 4: Simplify right side
    19,653.75x = 290,238,760.06
  5. Step 5: Solve for x
    x = 290,238,760.06/19,653.75
  6. Step 6: Final answer
    x = 14,767.60

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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.