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Finding the Fourth Proportional to 13,681.84, 20,519.74 and 3,818.47

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Solution

The fourth proportional to 13,681.84, 20,519.74 and 3,818.47 is: 5,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.84 : 20,519.74 = 3,818.47 : x
  2. Step 2: Convert to fraction form
    13,681.84/20,519.74 = 3,818.47/x
  3. Step 3: Cross multiply
    13,681.84x = 20,519.74 × 3,818.47
  4. Step 4: Simplify right side
    13,681.84x = 78,354,011.60
  5. Step 5: Solve for x
    x = 78,354,011.60/13,681.84
  6. Step 6: Final answer
    x = 5,726.86

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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.