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Finding the Fourth Proportional to 12,457.89, 17,213.76 and 9,960.62

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Solution

The fourth proportional to 12,457.89, 17,213.76 and 9,960.62 is: 13,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.89 : 17,213.76 = 9,960.62 : x
  2. Step 2: Convert to fraction form
    12,457.89/17,213.76 = 9,960.62/x
  3. Step 3: Cross multiply
    12,457.89x = 17,213.76 × 9,960.62
  4. Step 4: Simplify right side
    12,457.89x = 171,459,636.06
  5. Step 5: Solve for x
    x = 171,459,636.06/12,457.89
  6. Step 6: Final answer
    x = 13,763.14

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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.