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Finding the Fourth Proportional to 20,590.61, 30,897.57 and 9,497.29

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Solution

The fourth proportional to 20,590.61, 30,897.57 and 9,497.29 is: 14,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,590.61 : 30,897.57 = 9,497.29 : x
  2. Step 2: Convert to fraction form
    20,590.61/30,897.57 = 9,497.29/x
  3. Step 3: Cross multiply
    20,590.61x = 30,897.57 × 9,497.29
  4. Step 4: Simplify right side
    20,590.61x = 293,443,105.34
  5. Step 5: Solve for x
    x = 293,443,105.34/20,590.61
  6. Step 6: Final answer
    x = 14,251.31

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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.