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Finding the Fourth Proportional to 24,186.84, 36,276.56 and 8,176.16

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Solution

The fourth proportional to 24,186.84, 36,276.56 and 8,176.16 is: 12,262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.84 : 36,276.56 = 8,176.16 : x
  2. Step 2: Convert to fraction form
    24,186.84/36,276.56 = 8,176.16/x
  3. Step 3: Cross multiply
    24,186.84x = 36,276.56 × 8,176.16
  4. Step 4: Simplify right side
    24,186.84x = 296,602,958.81
  5. Step 5: Solve for x
    x = 296,602,958.81/24,186.84
  6. Step 6: Final answer
    x = 12,262.99

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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.