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Finding the Fourth Proportional to 15,826.42, 21,839.59 and 8,752.38

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Solution

The fourth proportional to 15,826.42, 21,839.59 and 8,752.38 is: 12,077.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.42 : 21,839.59 = 8,752.38 : x
  2. Step 2: Convert to fraction form
    15,826.42/21,839.59 = 8,752.38/x
  3. Step 3: Cross multiply
    15,826.42x = 21,839.59 × 8,752.38
  4. Step 4: Simplify right side
    15,826.42x = 191,148,390.72
  5. Step 5: Solve for x
    x = 191,148,390.72/15,826.42
  6. Step 6: Final answer
    x = 12,077.80

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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.