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Finding the Fourth Proportional to 14,416.39, 19,895.31 and 8,128.63

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Solution

The fourth proportional to 14,416.39, 19,895.31 and 8,128.63 is: 11,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.39 : 19,895.31 = 8,128.63 : x
  2. Step 2: Convert to fraction form
    14,416.39/19,895.31 = 8,128.63/x
  3. Step 3: Cross multiply
    14,416.39x = 19,895.31 × 8,128.63
  4. Step 4: Simplify right side
    14,416.39x = 161,721,473.61
  5. Step 5: Solve for x
    x = 161,721,473.61/14,416.39
  6. Step 6: Final answer
    x = 11,217.89

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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.