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Finding the Fourth Proportional to 12,513.80, 18,770.70 and 5,113.40

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Solution

The fourth proportional to 12,513.80, 18,770.70 and 5,113.40 is: 7,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.80 : 18,770.70 = 5,113.40 : x
  2. Step 2: Convert to fraction form
    12,513.80/18,770.70 = 5,113.40/x
  3. Step 3: Cross multiply
    12,513.80x = 18,770.70 × 5,113.40
  4. Step 4: Simplify right side
    12,513.80x = 95,982,097.38
  5. Step 5: Solve for x
    x = 95,982,097.38/12,513.80
  6. Step 6: Final answer
    x = 7,670.10

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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.