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Finding the Fourth Proportional to 24,654.12, 36,980.94 and 6,186.12

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Solution

The fourth proportional to 24,654.12, 36,980.94 and 6,186.12 is: 9,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654.12 : 36,980.94 = 6,186.12 : x
  2. Step 2: Convert to fraction form
    24,654.12/36,980.94 = 6,186.12/x
  3. Step 3: Cross multiply
    24,654.12x = 36,980.94 × 6,186.12
  4. Step 4: Simplify right side
    24,654.12x = 228,768,532.55
  5. Step 5: Solve for x
    x = 228,768,532.55/24,654.12
  6. Step 6: Final answer
    x = 9,279.12

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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.