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Finding the Fourth Proportional to 20,905.34, 31,347.62 and 7,577.80

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Solution

The fourth proportional to 20,905.34, 31,347.62 and 7,577.80 is: 11,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.34 : 31,347.62 = 7,577.80 : x
  2. Step 2: Convert to fraction form
    20,905.34/31,347.62 = 7,577.80/x
  3. Step 3: Cross multiply
    20,905.34x = 31,347.62 × 7,577.80
  4. Step 4: Simplify right side
    20,905.34x = 237,545,878.58
  5. Step 5: Solve for x
    x = 237,545,878.58/20,905.34
  6. Step 6: Final answer
    x = 11,362.93

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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.