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Finding the Fourth Proportional to 20,590.98, 30,898.13 and 9,497.66

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Solution

The fourth proportional to 20,590.98, 30,898.13 and 9,497.66 is: 14,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.98 : 30,898.13 = 9,497.66 : x
  2. Step 2: Convert to fraction form
    20,590.98/30,898.13 = 9,497.66/x
  3. Step 3: Cross multiply
    20,590.98x = 30,898.13 × 9,497.66
  4. Step 4: Simplify right side
    20,590.98x = 293,459,731.40
  5. Step 5: Solve for x
    x = 293,459,731.40/20,590.98
  6. Step 6: Final answer
    x = 14,251.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.