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Finding the Fourth Proportional to 17,464.48, 24,100.56 and 10,012

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Solution

The fourth proportional to 17,464.48, 24,100.56 and 10,012 is: 13,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.48 : 24,100.56 = 10,012 : x
  2. Step 2: Convert to fraction form
    17,464.48/24,100.56 = 10,012/x
  3. Step 3: Cross multiply
    17,464.48x = 24,100.56 × 10,012
  4. Step 4: Simplify right side
    17,464.48x = 241,294,806.72
  5. Step 5: Solve for x
    x = 241,294,806.72/17,464.48
  6. Step 6: Final answer
    x = 13,816.32

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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.