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Finding the Fourth Proportional to 26,226, 39,345.23 and 8,695.82

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Solution

The fourth proportional to 26,226, 39,345.23 and 8,695.82 is: 13,045.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226 : 39,345.23 = 8,695.82 : x
  2. Step 2: Convert to fraction form
    26,226/39,345.23 = 8,695.82/x
  3. Step 3: Cross multiply
    26,226x = 39,345.23 × 8,695.82
  4. Step 4: Simplify right side
    26,226x = 342,139,158.04
  5. Step 5: Solve for x
    x = 342,139,158.04/26,226
  6. Step 6: Final answer
    x = 13,045.80

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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.