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Finding the Fourth Proportional to 14,549.20, 21,832.80 and 5,783.20

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Solution

The fourth proportional to 14,549.20, 21,832.80 and 5,783.20 is: 8,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.20 : 21,832.80 = 5,783.20 : x
  2. Step 2: Convert to fraction form
    14,549.20/21,832.80 = 5,783.20/x
  3. Step 3: Cross multiply
    14,549.20x = 21,832.80 × 5,783.20
  4. Step 4: Simplify right side
    14,549.20x = 126,263,448.96
  5. Step 5: Solve for x
    x = 126,263,448.96/14,549.20
  6. Step 6: Final answer
    x = 8,678.38

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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.