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Finding the Fourth Proportional to 15,826.01, 23,718.05 and 8,414.51

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Solution

The fourth proportional to 15,826.01, 23,718.05 and 8,414.51 is: 12,610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.01 : 23,718.05 = 8,414.51 : x
  2. Step 2: Convert to fraction form
    15,826.01/23,718.05 = 8,414.51/x
  3. Step 3: Cross multiply
    15,826.01x = 23,718.05 × 8,414.51
  4. Step 4: Simplify right side
    15,826.01x = 199,575,768.91
  5. Step 5: Solve for x
    x = 199,575,768.91/15,826.01
  6. Step 6: Final answer
    x = 12,610.62

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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.