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Finding the Fourth Proportional to 14,257.85, 19,675.72 and 8,209.28

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Solution

The fourth proportional to 14,257.85, 19,675.72 and 8,209.28 is: 11,328.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.85 : 19,675.72 = 8,209.28 : x
  2. Step 2: Convert to fraction form
    14,257.85/19,675.72 = 8,209.28/x
  3. Step 3: Cross multiply
    14,257.85x = 19,675.72 × 8,209.28
  4. Step 4: Simplify right side
    14,257.85x = 161,523,474.16
  5. Step 5: Solve for x
    x = 161,523,474.16/14,257.85
  6. Step 6: Final answer
    x = 11,328.74

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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.