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Finding the Fourth Proportional to 23,589.80, 35,384.70 and 9,765.80

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Solution

The fourth proportional to 23,589.80, 35,384.70 and 9,765.80 is: 14,648.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.80 : 35,384.70 = 9,765.80 : x
  2. Step 2: Convert to fraction form
    23,589.80/35,384.70 = 9,765.80/x
  3. Step 3: Cross multiply
    23,589.80x = 35,384.70 × 9,765.80
  4. Step 4: Simplify right side
    23,589.80x = 345,559,903.26
  5. Step 5: Solve for x
    x = 345,559,903.26/23,589.80
  6. Step 6: Final answer
    x = 14,648.70

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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.