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Finding the Fourth Proportional to 12,416.48, 17,135.12 and 6,827.68

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Solution

The fourth proportional to 12,416.48, 17,135.12 and 6,827.68 is: 9,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416.48 : 17,135.12 = 6,827.68 : x
  2. Step 2: Convert to fraction form
    12,416.48/17,135.12 = 6,827.68/x
  3. Step 3: Cross multiply
    12,416.48x = 17,135.12 × 6,827.68
  4. Step 4: Simplify right side
    12,416.48x = 116,993,116.12
  5. Step 5: Solve for x
    x = 116,993,116.12/12,416.48
  6. Step 6: Final answer
    x = 9,422.41

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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.