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Finding the Fourth Proportional to 20,458.70, 30,697.28 and 9,216.84

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Solution

The fourth proportional to 20,458.70, 30,697.28 and 9,216.84 is: 13,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.70 : 30,697.28 = 9,216.84 : x
  2. Step 2: Convert to fraction form
    20,458.70/30,697.28 = 9,216.84/x
  3. Step 3: Cross multiply
    20,458.70x = 30,697.28 × 9,216.84
  4. Step 4: Simplify right side
    20,458.70x = 282,931,849.12
  5. Step 5: Solve for x
    x = 282,931,849.12/20,458.70
  6. Step 6: Final answer
    x = 13,829.41

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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.