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Finding the Fourth Proportional to 12,438.09, 17,166.74 and 7,402.59

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Solution

The fourth proportional to 12,438.09, 17,166.74 and 7,402.59 is: 10,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.09 : 17,166.74 = 7,402.59 : x
  2. Step 2: Convert to fraction form
    12,438.09/17,166.74 = 7,402.59/x
  3. Step 3: Cross multiply
    12,438.09x = 17,166.74 × 7,402.59
  4. Step 4: Simplify right side
    12,438.09x = 127,078,300.84
  5. Step 5: Solve for x
    x = 127,078,300.84/12,438.09
  6. Step 6: Final answer
    x = 10,216.87

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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.