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Finding the Fourth Proportional to 16,405.77, 24,607.44 and 9,817.23

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Solution

The fourth proportional to 16,405.77, 24,607.44 and 9,817.23 is: 14,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.77 : 24,607.44 = 9,817.23 : x
  2. Step 2: Convert to fraction form
    16,405.77/24,607.44 = 9,817.23/x
  3. Step 3: Cross multiply
    16,405.77x = 24,607.44 × 9,817.23
  4. Step 4: Simplify right side
    16,405.77x = 241,576,898.19
  5. Step 5: Solve for x
    x = 241,576,898.19/16,405.77
  6. Step 6: Final answer
    x = 14,725.12

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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.