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Finding the Fourth Proportional to 14,274.29, 19,690.39 and 8,305.27

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Solution

The fourth proportional to 14,274.29, 19,690.39 and 8,305.27 is: 11,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.29 : 19,690.39 = 8,305.27 : x
  2. Step 2: Convert to fraction form
    14,274.29/19,690.39 = 8,305.27/x
  3. Step 3: Cross multiply
    14,274.29x = 19,690.39 × 8,305.27
  4. Step 4: Simplify right side
    14,274.29x = 163,533,966.51
  5. Step 5: Solve for x
    x = 163,533,966.51/14,274.29
  6. Step 6: Final answer
    x = 11,456.54

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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.