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Finding the Fourth Proportional to 24,047.30, 36,078.26 and 11,563.79

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Solution

The fourth proportional to 24,047.30, 36,078.26 and 11,563.79 is: 17,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.30 : 36,078.26 = 11,563.79 : x
  2. Step 2: Convert to fraction form
    24,047.30/36,078.26 = 11,563.79/x
  3. Step 3: Cross multiply
    24,047.30x = 36,078.26 × 11,563.79
  4. Step 4: Simplify right side
    24,047.30x = 417,201,184.00
  5. Step 5: Solve for x
    x = 417,201,184.00/24,047.30
  6. Step 6: Final answer
    x = 17,349.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.