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Finding the Fourth Proportional to 17,387.50, 24,007.90 and 10,682.32

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Solution

The fourth proportional to 17,387.50, 24,007.90 and 10,682.32 is: 14,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,387.50 : 24,007.90 = 10,682.32 : x
  2. Step 2: Convert to fraction form
    17,387.50/24,007.90 = 10,682.32/x
  3. Step 3: Cross multiply
    17,387.50x = 24,007.90 × 10,682.32
  4. Step 4: Simplify right side
    17,387.50x = 256,460,070.33
  5. Step 5: Solve for x
    x = 256,460,070.33/17,387.50
  6. Step 6: Final answer
    x = 14,749.68

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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.