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Finding the Fourth Proportional to 12,650.35, 17,457.28 and 6,985.69

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Solution

The fourth proportional to 12,650.35, 17,457.28 and 6,985.69 is: 9,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,650.35 : 17,457.28 = 6,985.69 : x
  2. Step 2: Convert to fraction form
    12,650.35/17,457.28 = 6,985.69/x
  3. Step 3: Cross multiply
    12,650.35x = 17,457.28 × 6,985.69
  4. Step 4: Simplify right side
    12,650.35x = 121,951,146.32
  5. Step 5: Solve for x
    x = 121,951,146.32/12,650.35
  6. Step 6: Final answer
    x = 9,640.14

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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.