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Finding the Fourth Proportional to 12,538.96, 17,303.34 and 7,233.64

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Solution

The fourth proportional to 12,538.96, 17,303.34 and 7,233.64 is: 9,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.96 : 17,303.34 = 7,233.64 : x
  2. Step 2: Convert to fraction form
    12,538.96/17,303.34 = 7,233.64/x
  3. Step 3: Cross multiply
    12,538.96x = 17,303.34 × 7,233.64
  4. Step 4: Simplify right side
    12,538.96x = 125,166,132.36
  5. Step 5: Solve for x
    x = 125,166,132.36/12,538.96
  6. Step 6: Final answer
    x = 9,982.18

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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.