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Finding the Fourth Proportional to 26,006.34, 35,886.12 and 14,674.80

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Solution

The fourth proportional to 26,006.34, 35,886.12 and 14,674.80 is: 20,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,006.34 : 35,886.12 = 14,674.80 : x
  2. Step 2: Convert to fraction form
    26,006.34/35,886.12 = 14,674.80/x
  3. Step 3: Cross multiply
    26,006.34x = 35,886.12 × 14,674.80
  4. Step 4: Simplify right side
    26,006.34x = 526,621,633.78
  5. Step 5: Solve for x
    x = 526,621,633.78/26,006.34
  6. Step 6: Final answer
    x = 20,249.74

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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.