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Finding the Fourth Proportional to 17,538.48, 24,203.58 and 10,469.00

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Solution

The fourth proportional to 17,538.48, 24,203.58 and 10,469.00 is: 14,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.48 : 24,203.58 = 10,469.00 : x
  2. Step 2: Convert to fraction form
    17,538.48/24,203.58 = 10,469.00/x
  3. Step 3: Cross multiply
    17,538.48x = 24,203.58 × 10,469.00
  4. Step 4: Simplify right side
    17,538.48x = 253,387,300.27
  5. Step 5: Solve for x
    x = 253,387,300.27/17,538.48
  6. Step 6: Final answer
    x = 14,447.51

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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.