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Finding the Fourth Proportional to 27,109.51, 40,710.79 and 16,641

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Solution

The fourth proportional to 27,109.51, 40,710.79 and 16,641 is: 24,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,109.51 : 40,710.79 = 16,641 : x
  2. Step 2: Convert to fraction form
    27,109.51/40,710.79 = 16,641/x
  3. Step 3: Cross multiply
    27,109.51x = 40,710.79 × 16,641
  4. Step 4: Simplify right side
    27,109.51x = 677,468,256.39
  5. Step 5: Solve for x
    x = 677,468,256.39/27,109.51
  6. Step 6: Final answer
    x = 24,990.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.