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Finding the Fourth Proportional to 15,826.26, 23,741.22 and 7,060.08

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Solution

The fourth proportional to 15,826.26, 23,741.22 and 7,060.08 is: 10,590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.26 : 23,741.22 = 7,060.08 : x
  2. Step 2: Convert to fraction form
    15,826.26/23,741.22 = 7,060.08/x
  3. Step 3: Cross multiply
    15,826.26x = 23,741.22 × 7,060.08
  4. Step 4: Simplify right side
    15,826.26x = 167,614,912.50
  5. Step 5: Solve for x
    x = 167,614,912.50/15,826.26
  6. Step 6: Final answer
    x = 10,590.94

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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.