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Finding the Fourth Proportional to 20,635.34, 30,944 and 7,303.90

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Solution

The fourth proportional to 20,635.34, 30,944 and 7,303.90 is: 10,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,635.34 : 30,944 = 7,303.90 : x
  2. Step 2: Convert to fraction form
    20,635.34/30,944 = 7,303.90/x
  3. Step 3: Cross multiply
    20,635.34x = 30,944 × 7,303.90
  4. Step 4: Simplify right side
    20,635.34x = 226,011,881.60
  5. Step 5: Solve for x
    x = 226,011,881.60/20,635.34
  6. Step 6: Final answer
    x = 10,952.66

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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.