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Finding the Fourth Proportional to 13,642.46, 20,461.67 and 3,780.71

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Solution

The fourth proportional to 13,642.46, 20,461.67 and 3,780.71 is: 5,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.46 : 20,461.67 = 3,780.71 : x
  2. Step 2: Convert to fraction form
    13,642.46/20,461.67 = 3,780.71/x
  3. Step 3: Cross multiply
    13,642.46x = 20,461.67 × 3,780.71
  4. Step 4: Simplify right side
    13,642.46x = 77,359,621.48
  5. Step 5: Solve for x
    x = 77,359,621.48/13,642.46
  6. Step 6: Final answer
    x = 5,670.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.