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Finding the Fourth Proportional to 16,262.96, 24,402.64 and 6,409.30

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Solution

The fourth proportional to 16,262.96, 24,402.64 and 6,409.30 is: 9,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.96 : 24,402.64 = 6,409.30 : x
  2. Step 2: Convert to fraction form
    16,262.96/24,402.64 = 6,409.30/x
  3. Step 3: Cross multiply
    16,262.96x = 24,402.64 × 6,409.30
  4. Step 4: Simplify right side
    16,262.96x = 156,403,840.55
  5. Step 5: Solve for x
    x = 156,403,840.55/16,262.96
  6. Step 6: Final answer
    x = 9,617.18

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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.