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Finding the Fourth Proportional to 16,405.46, 24,603.02 and 5,309.57

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Solution

The fourth proportional to 16,405.46, 24,603.02 and 5,309.57 is: 7,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.46 : 24,603.02 = 5,309.57 : x
  2. Step 2: Convert to fraction form
    16,405.46/24,603.02 = 5,309.57/x
  3. Step 3: Cross multiply
    16,405.46x = 24,603.02 × 5,309.57
  4. Step 4: Simplify right side
    16,405.46x = 130,631,456.90
  5. Step 5: Solve for x
    x = 130,631,456.90/16,405.46
  6. Step 6: Final answer
    x = 7,962.68

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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.