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Finding the Fourth Proportional to 13,878.69, 20,820 and 4,515.71

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Solution

The fourth proportional to 13,878.69, 20,820 and 4,515.71 is: 6,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.69 : 20,820 = 4,515.71 : x
  2. Step 2: Convert to fraction form
    13,878.69/20,820 = 4,515.71/x
  3. Step 3: Cross multiply
    13,878.69x = 20,820 × 4,515.71
  4. Step 4: Simplify right side
    13,878.69x = 94,016,978.10
  5. Step 5: Solve for x
    x = 94,016,978.10/13,878.69
  6. Step 6: Final answer
    x = 6,774.20

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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.