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Finding the Fourth Proportional to 35,900.82, 53,826.93 and 12,514.50

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Solution

The fourth proportional to 35,900.82, 53,826.93 and 12,514.50 is: 18,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900.82 : 53,826.93 = 12,514.50 : x
  2. Step 2: Convert to fraction form
    35,900.82/53,826.93 = 12,514.50/x
  3. Step 3: Cross multiply
    35,900.82x = 53,826.93 × 12,514.50
  4. Step 4: Simplify right side
    35,900.82x = 673,617,115.49
  5. Step 5: Solve for x
    x = 673,617,115.49/35,900.82
  6. Step 6: Final answer
    x = 18,763.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.