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Finding the Fourth Proportional to 13,878.83, 20,825.08 and 6,482.22

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Solution

The fourth proportional to 13,878.83, 20,825.08 and 6,482.22 is: 9,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.83 : 20,825.08 = 6,482.22 : x
  2. Step 2: Convert to fraction form
    13,878.83/20,825.08 = 6,482.22/x
  3. Step 3: Cross multiply
    13,878.83x = 20,825.08 × 6,482.22
  4. Step 4: Simplify right side
    13,878.83x = 134,992,750.08
  5. Step 5: Solve for x
    x = 134,992,750.08/13,878.83
  6. Step 6: Final answer
    x = 9,726.52

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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.