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Finding the Fourth Proportional to 14,520.56, 21,780.76 and 9,589.02

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Solution

The fourth proportional to 14,520.56, 21,780.76 and 9,589.02 is: 14,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.56 : 21,780.76 = 9,589.02 : x
  2. Step 2: Convert to fraction form
    14,520.56/21,780.76 = 9,589.02/x
  3. Step 3: Cross multiply
    14,520.56x = 21,780.76 × 9,589.02
  4. Step 4: Simplify right side
    14,520.56x = 208,856,143.26
  5. Step 5: Solve for x
    x = 208,856,143.26/14,520.56
  6. Step 6: Final answer
    x = 14,383.48

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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.