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Finding the Fourth Proportional to 12,457.41, 17,191.22 and 6,868.41

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Solution

The fourth proportional to 12,457.41, 17,191.22 and 6,868.41 is: 9,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.41 : 17,191.22 = 6,868.41 : x
  2. Step 2: Convert to fraction form
    12,457.41/17,191.22 = 6,868.41/x
  3. Step 3: Cross multiply
    12,457.41x = 17,191.22 × 6,868.41
  4. Step 4: Simplify right side
    12,457.41x = 118,076,287.19
  5. Step 5: Solve for x
    x = 118,076,287.19/12,457.41
  6. Step 6: Final answer
    x = 9,478.40

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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.