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Finding the Fourth Proportional to 17,783.99, 24,542.63 and 10,230.32

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Solution

The fourth proportional to 17,783.99, 24,542.63 and 10,230.32 is: 14,118.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.99 : 24,542.63 = 10,230.32 : x
  2. Step 2: Convert to fraction form
    17,783.99/24,542.63 = 10,230.32/x
  3. Step 3: Cross multiply
    17,783.99x = 24,542.63 × 10,230.32
  4. Step 4: Simplify right side
    17,783.99x = 251,078,784.68
  5. Step 5: Solve for x
    x = 251,078,784.68/17,783.99
  6. Step 6: Final answer
    x = 14,118.25

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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.