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Finding the Fourth Proportional to 12,457.45, 17,189.85 and 7,420.96

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Solution

The fourth proportional to 12,457.45, 17,189.85 and 7,420.96 is: 10,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.45 : 17,189.85 = 7,420.96 : x
  2. Step 2: Convert to fraction form
    12,457.45/17,189.85 = 7,420.96/x
  3. Step 3: Cross multiply
    12,457.45x = 17,189.85 × 7,420.96
  4. Step 4: Simplify right side
    12,457.45x = 127,565,189.26
  5. Step 5: Solve for x
    x = 127,565,189.26/12,457.45
  6. Step 6: Final answer
    x = 10,240.07

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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.