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Finding the Fourth Proportional to 36,536.04, 54,771.12 and 13,146

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Solution

The fourth proportional to 36,536.04, 54,771.12 and 13,146 is: 19,707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,536.04 : 54,771.12 = 13,146 : x
  2. Step 2: Convert to fraction form
    36,536.04/54,771.12 = 13,146/x
  3. Step 3: Cross multiply
    36,536.04x = 54,771.12 × 13,146
  4. Step 4: Simplify right side
    36,536.04x = 720,021,143.52
  5. Step 5: Solve for x
    x = 720,021,143.52/36,536.04
  6. Step 6: Final answer
    x = 19,707.15

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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.