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Finding the Fourth Proportional to 14,416.53, 21,617.37 and 8,495.16

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Solution

The fourth proportional to 14,416.53, 21,617.37 and 8,495.16 is: 12,738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.53 : 21,617.37 = 8,495.16 : x
  2. Step 2: Convert to fraction form
    14,416.53/21,617.37 = 8,495.16/x
  3. Step 3: Cross multiply
    14,416.53x = 21,617.37 × 8,495.16
  4. Step 4: Simplify right side
    14,416.53x = 183,643,016.93
  5. Step 5: Solve for x
    x = 183,643,016.93/14,416.53
  6. Step 6: Final answer
    x = 12,738.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.