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Finding the Fourth Proportional to 27,908.84, 41,810.14 and 16,641

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Solution

The fourth proportional to 27,908.84, 41,810.14 and 16,641 is: 24,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,908.84 : 41,810.14 = 16,641 : x
  2. Step 2: Convert to fraction form
    27,908.84/41,810.14 = 16,641/x
  3. Step 3: Cross multiply
    27,908.84x = 41,810.14 × 16,641
  4. Step 4: Simplify right side
    27,908.84x = 695,762,539.74
  5. Step 5: Solve for x
    x = 695,762,539.74/27,908.84
  6. Step 6: Final answer
    x = 24,929.83

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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.