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Finding the Fourth Proportional to 20,693.84, 31,035.29 and 5,903.60

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Solution

The fourth proportional to 20,693.84, 31,035.29 and 5,903.60 is: 8,853.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.84 : 31,035.29 = 5,903.60 : x
  2. Step 2: Convert to fraction form
    20,693.84/31,035.29 = 5,903.60/x
  3. Step 3: Cross multiply
    20,693.84x = 31,035.29 × 5,903.60
  4. Step 4: Simplify right side
    20,693.84x = 183,219,753.35
  5. Step 5: Solve for x
    x = 183,219,753.35/20,693.84
  6. Step 6: Final answer
    x = 8,853.83

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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.