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Finding the Fourth Proportional to 26,005, 35,886.92 and 14,676.92

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Solution

The fourth proportional to 26,005, 35,886.92 and 14,676.92 is: 20,254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005 : 35,886.92 = 14,676.92 : x
  2. Step 2: Convert to fraction form
    26,005/35,886.92 = 14,676.92/x
  3. Step 3: Cross multiply
    26,005x = 35,886.92 × 14,676.92
  4. Step 4: Simplify right side
    26,005x = 526,709,453.89
  5. Step 5: Solve for x
    x = 526,709,453.89/26,005
  6. Step 6: Final answer
    x = 20,254.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.