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Finding the Fourth Proportional to 24,117.60, 36,173.16 and 8,546.16

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Solution

The fourth proportional to 24,117.60, 36,173.16 and 8,546.16 is: 12,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.60 : 36,173.16 = 8,546.16 : x
  2. Step 2: Convert to fraction form
    24,117.60/36,173.16 = 8,546.16/x
  3. Step 3: Cross multiply
    24,117.60x = 36,173.16 × 8,546.16
  4. Step 4: Simplify right side
    24,117.60x = 309,141,613.07
  5. Step 5: Solve for x
    x = 309,141,613.07/24,117.60
  6. Step 6: Final answer
    x = 12,818.09

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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.