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Finding the Fourth Proportional to 16,807.16, 23,192.46 and 9,252.29

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Solution

The fourth proportional to 16,807.16, 23,192.46 and 9,252.29 is: 12,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.16 : 23,192.46 = 9,252.29 : x
  2. Step 2: Convert to fraction form
    16,807.16/23,192.46 = 9,252.29/x
  3. Step 3: Cross multiply
    16,807.16x = 23,192.46 × 9,252.29
  4. Step 4: Simplify right side
    16,807.16x = 214,583,423.71
  5. Step 5: Solve for x
    x = 214,583,423.71/16,807.16
  6. Step 6: Final answer
    x = 12,767.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.