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Finding the Fourth Proportional to 12,052.64, 18,047.52 and 9,699.80

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Solution

The fourth proportional to 12,052.64, 18,047.52 and 9,699.80 is: 14,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052.64 : 18,047.52 = 9,699.80 : x
  2. Step 2: Convert to fraction form
    12,052.64/18,047.52 = 9,699.80/x
  3. Step 3: Cross multiply
    12,052.64x = 18,047.52 × 9,699.80
  4. Step 4: Simplify right side
    12,052.64x = 175,057,244.26
  5. Step 5: Solve for x
    x = 175,057,244.26/12,052.64
  6. Step 6: Final answer
    x = 14,524.39

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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.