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Finding the Fourth Proportional to 12,703.37, 17,530.94 and 7,396.25

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Solution

The fourth proportional to 12,703.37, 17,530.94 and 7,396.25 is: 10,206.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.37 : 17,530.94 = 7,396.25 : x
  2. Step 2: Convert to fraction form
    12,703.37/17,530.94 = 7,396.25/x
  3. Step 3: Cross multiply
    12,703.37x = 17,530.94 × 7,396.25
  4. Step 4: Simplify right side
    12,703.37x = 129,663,214.98
  5. Step 5: Solve for x
    x = 129,663,214.98/12,703.37
  6. Step 6: Final answer
    x = 10,206.99

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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.