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Finding the Fourth Proportional to 20,347.20, 30,477.60 and 16,459.20

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Solution

The fourth proportional to 20,347.20, 30,477.60 and 16,459.20 is: 24,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.20 : 30,477.60 = 16,459.20 : x
  2. Step 2: Convert to fraction form
    20,347.20/30,477.60 = 16,459.20/x
  3. Step 3: Cross multiply
    20,347.20x = 30,477.60 × 16,459.20
  4. Step 4: Simplify right side
    20,347.20x = 501,636,913.92
  5. Step 5: Solve for x
    x = 501,636,913.92/20,347.20
  6. Step 6: Final answer
    x = 24,653.85

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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.