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Finding the Fourth Proportional to 10,704.80, 16,047.60 and 9,538.40

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Solution

The fourth proportional to 10,704.80, 16,047.60 and 9,538.40 is: 14,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.80 : 16,047.60 = 9,538.40 : x
  2. Step 2: Convert to fraction form
    10,704.80/16,047.60 = 9,538.40/x
  3. Step 3: Cross multiply
    10,704.80x = 16,047.60 × 9,538.40
  4. Step 4: Simplify right side
    10,704.80x = 153,068,427.84
  5. Step 5: Solve for x
    x = 153,068,427.84/10,704.80
  6. Step 6: Final answer
    x = 14,299.05

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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.