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Finding the Fourth Proportional to 14,590.98, 20,120.49 and 9,805.71

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Solution

The fourth proportional to 14,590.98, 20,120.49 and 9,805.71 is: 13,521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,590.98 : 20,120.49 = 9,805.71 : x
  2. Step 2: Convert to fraction form
    14,590.98/20,120.49 = 9,805.71/x
  3. Step 3: Cross multiply
    14,590.98x = 20,120.49 × 9,805.71
  4. Step 4: Simplify right side
    14,590.98x = 197,295,690.00
  5. Step 5: Solve for x
    x = 197,295,690.00/14,590.98
  6. Step 6: Final answer
    x = 13,521.76

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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.