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Finding the Fourth Proportional to 14,570.97, 20,109.65 and 8,284.29

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Solution

The fourth proportional to 14,570.97, 20,109.65 and 8,284.29 is: 11,433.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.97 : 20,109.65 = 8,284.29 : x
  2. Step 2: Convert to fraction form
    14,570.97/20,109.65 = 8,284.29/x
  3. Step 3: Cross multiply
    14,570.97x = 20,109.65 × 8,284.29
  4. Step 4: Simplify right side
    14,570.97x = 166,594,130.98
  5. Step 5: Solve for x
    x = 166,594,130.98/14,570.97
  6. Step 6: Final answer
    x = 11,433.29

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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.