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Finding the Fourth Proportional to 16,333.65, 24,507.90 and 9,683.28

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Solution

The fourth proportional to 16,333.65, 24,507.90 and 9,683.28 is: 14,529.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.65 : 24,507.90 = 9,683.28 : x
  2. Step 2: Convert to fraction form
    16,333.65/24,507.90 = 9,683.28/x
  3. Step 3: Cross multiply
    16,333.65x = 24,507.90 × 9,683.28
  4. Step 4: Simplify right side
    16,333.65x = 237,316,857.91
  5. Step 5: Solve for x
    x = 237,316,857.91/16,333.65
  6. Step 6: Final answer
    x = 14,529.32

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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.