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Finding the Fourth Proportional to 12,534.79, 17,297.49 and 7,496.04

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Solution

The fourth proportional to 12,534.79, 17,297.49 and 7,496.04 is: 10,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.79 : 17,297.49 = 7,496.04 : x
  2. Step 2: Convert to fraction form
    12,534.79/17,297.49 = 7,496.04/x
  3. Step 3: Cross multiply
    12,534.79x = 17,297.49 × 7,496.04
  4. Step 4: Simplify right side
    12,534.79x = 129,662,590.45
  5. Step 5: Solve for x
    x = 129,662,590.45/12,534.79
  6. Step 6: Final answer
    x = 10,344.22

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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.