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Finding the Fourth Proportional to 14,878.26, 20,525.49 and 9,211.50

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Solution

The fourth proportional to 14,878.26, 20,525.49 and 9,211.50 is: 12,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,878.26 : 20,525.49 = 9,211.50 : x
  2. Step 2: Convert to fraction form
    14,878.26/20,525.49 = 9,211.50/x
  3. Step 3: Cross multiply
    14,878.26x = 20,525.49 × 9,211.50
  4. Step 4: Simplify right side
    14,878.26x = 189,070,551.14
  5. Step 5: Solve for x
    x = 189,070,551.14/14,878.26
  6. Step 6: Final answer
    x = 12,707.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.