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Finding the Fourth Proportional to 41,677.84, 62,516.58 and 10,513

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Solution

The fourth proportional to 41,677.84, 62,516.58 and 10,513 is: 15,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677.84 : 62,516.58 = 10,513 : x
  2. Step 2: Convert to fraction form
    41,677.84/62,516.58 = 10,513/x
  3. Step 3: Cross multiply
    41,677.84x = 62,516.58 × 10,513
  4. Step 4: Simplify right side
    41,677.84x = 657,236,805.54
  5. Step 5: Solve for x
    x = 657,236,805.54/41,677.84
  6. Step 6: Final answer
    x = 15,769.45

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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.