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Finding the Fourth Proportional to 20,920.98, 31,378.74 and 9,231.47

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Solution

The fourth proportional to 20,920.98, 31,378.74 and 9,231.47 is: 13,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,920.98 : 31,378.74 = 9,231.47 : x
  2. Step 2: Convert to fraction form
    20,920.98/31,378.74 = 9,231.47/x
  3. Step 3: Cross multiply
    20,920.98x = 31,378.74 × 9,231.47
  4. Step 4: Simplify right side
    20,920.98x = 289,671,875.03
  5. Step 5: Solve for x
    x = 289,671,875.03/20,920.98
  6. Step 6: Final answer
    x = 13,846.00

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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.