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Finding the Fourth Proportional to 27,872.51, 38,461.50 and 16,540.06

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Solution

The fourth proportional to 27,872.51, 38,461.50 and 16,540.06 is: 22,823.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.51 : 38,461.50 = 16,540.06 : x
  2. Step 2: Convert to fraction form
    27,872.51/38,461.50 = 16,540.06/x
  3. Step 3: Cross multiply
    27,872.51x = 38,461.50 × 16,540.06
  4. Step 4: Simplify right side
    27,872.51x = 636,155,325.38
  5. Step 5: Solve for x
    x = 636,155,325.38/27,872.51
  6. Step 6: Final answer
    x = 22,823.75

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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.