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Finding the Fourth Proportional to 26,407.22, 39,590.78 and 11,398.32

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Solution

The fourth proportional to 26,407.22, 39,590.78 and 11,398.32 is: 17,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,407.22 : 39,590.78 = 11,398.32 : x
  2. Step 2: Convert to fraction form
    26,407.22/39,590.78 = 11,398.32/x
  3. Step 3: Cross multiply
    26,407.22x = 39,590.78 × 11,398.32
  4. Step 4: Simplify right side
    26,407.22x = 451,268,322.50
  5. Step 5: Solve for x
    x = 451,268,322.50/26,407.22
  6. Step 6: Final answer
    x = 17,088.83

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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.