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Finding the Fourth Proportional to 12,513.84, 18,770.78 and 5,118.30

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Solution

The fourth proportional to 12,513.84, 18,770.78 and 5,118.30 is: 7,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.84 : 18,770.78 = 5,118.30 : x
  2. Step 2: Convert to fraction form
    12,513.84/18,770.78 = 5,118.30/x
  3. Step 3: Cross multiply
    12,513.84x = 18,770.78 × 5,118.30
  4. Step 4: Simplify right side
    12,513.84x = 96,074,483.27
  5. Step 5: Solve for x
    x = 96,074,483.27/12,513.84
  6. Step 6: Final answer
    x = 7,677.46

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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.