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Finding the Fourth Proportional to 14,416.25, 19,894.43 and 8,128.63

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Solution

The fourth proportional to 14,416.25, 19,894.43 and 8,128.63 is: 11,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.25 : 19,894.43 = 8,128.63 : x
  2. Step 2: Convert to fraction form
    14,416.25/19,894.43 = 8,128.63/x
  3. Step 3: Cross multiply
    14,416.25x = 19,894.43 × 8,128.63
  4. Step 4: Simplify right side
    14,416.25x = 161,714,431.12
  5. Step 5: Solve for x
    x = 161,714,431.12/14,416.25
  6. Step 6: Final answer
    x = 11,217.51

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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.