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Finding the Fourth Proportional to 12,434.84, 18,632.78 and 6,884.76

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Solution

The fourth proportional to 12,434.84, 18,632.78 and 6,884.76 is: 10,316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.84 : 18,632.78 = 6,884.76 : x
  2. Step 2: Convert to fraction form
    12,434.84/18,632.78 = 6,884.76/x
  3. Step 3: Cross multiply
    12,434.84x = 18,632.78 × 6,884.76
  4. Step 4: Simplify right side
    12,434.84x = 128,282,218.43
  5. Step 5: Solve for x
    x = 128,282,218.43/12,434.84
  6. Step 6: Final answer
    x = 10,316.35

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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.