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Finding the Fourth Proportional to 10,173.60, 15,072.48 and 9,784.80

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Solution

The fourth proportional to 10,173.60, 15,072.48 and 9,784.80 is: 14,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.60 : 15,072.48 = 9,784.80 : x
  2. Step 2: Convert to fraction form
    10,173.60/15,072.48 = 9,784.80/x
  3. Step 3: Cross multiply
    10,173.60x = 15,072.48 × 9,784.80
  4. Step 4: Simplify right side
    10,173.60x = 147,481,202.30
  5. Step 5: Solve for x
    x = 147,481,202.30/10,173.60
  6. Step 6: Final answer
    x = 14,496.46

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.