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Finding the Fourth Proportional to 20,705.60, 31,034.10 and 7,549.58

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Solution

The fourth proportional to 20,705.60, 31,034.10 and 7,549.58 is: 11,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.60 : 31,034.10 = 7,549.58 : x
  2. Step 2: Convert to fraction form
    20,705.60/31,034.10 = 7,549.58/x
  3. Step 3: Cross multiply
    20,705.60x = 31,034.10 × 7,549.58
  4. Step 4: Simplify right side
    20,705.60x = 234,294,420.68
  5. Step 5: Solve for x
    x = 234,294,420.68/20,705.60
  6. Step 6: Final answer
    x = 11,315.51

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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.