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Finding the Fourth Proportional to 12,538.34, 17,302.94 and 7,236.23

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Solution

The fourth proportional to 12,538.34, 17,302.94 and 7,236.23 is: 9,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.34 : 17,302.94 = 7,236.23 : x
  2. Step 2: Convert to fraction form
    12,538.34/17,302.94 = 7,236.23/x
  3. Step 3: Cross multiply
    12,538.34x = 17,302.94 × 7,236.23
  4. Step 4: Simplify right side
    12,538.34x = 125,207,985.09
  5. Step 5: Solve for x
    x = 125,207,985.09/12,538.34
  6. Step 6: Final answer
    x = 9,986.01

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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.