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Finding the Fourth Proportional to 15,783.20, 21,771.20 and 9,405.60

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Solution

The fourth proportional to 15,783.20, 21,771.20 and 9,405.60 is: 12,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.20 : 21,771.20 = 9,405.60 : x
  2. Step 2: Convert to fraction form
    15,783.20/21,771.20 = 9,405.60/x
  3. Step 3: Cross multiply
    15,783.20x = 21,771.20 × 9,405.60
  4. Step 4: Simplify right side
    15,783.20x = 204,771,151.69
  5. Step 5: Solve for x
    x = 204,771,151.69/15,783.20
  6. Step 6: Final answer
    x = 12,974.00

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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.