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Finding the Fourth Proportional to 16,528.89, 22,809.57 and 9,814.80

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Solution

The fourth proportional to 16,528.89, 22,809.57 and 9,814.80 is: 13,544.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,528.89 : 22,809.57 = 9,814.80 : x
  2. Step 2: Convert to fraction form
    16,528.89/22,809.57 = 9,814.80/x
  3. Step 3: Cross multiply
    16,528.89x = 22,809.57 × 9,814.80
  4. Step 4: Simplify right side
    16,528.89x = 223,871,367.64
  5. Step 5: Solve for x
    x = 223,871,367.64/16,528.89
  6. Step 6: Final answer
    x = 13,544.25

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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.