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Finding the Fourth Proportional to 14,698.29, 20,275.87 and 9,311.23

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Solution

The fourth proportional to 14,698.29, 20,275.87 and 9,311.23 is: 12,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.29 : 20,275.87 = 9,311.23 : x
  2. Step 2: Convert to fraction form
    14,698.29/20,275.87 = 9,311.23/x
  3. Step 3: Cross multiply
    14,698.29x = 20,275.87 × 9,311.23
  4. Step 4: Simplify right side
    14,698.29x = 188,793,194.49
  5. Step 5: Solve for x
    x = 188,793,194.49/14,698.29
  6. Step 6: Final answer
    x = 12,844.57

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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.