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Finding the Fourth Proportional to 16,395.50, 22,617.69 and 10,343

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Solution

The fourth proportional to 16,395.50, 22,617.69 and 10,343 is: 14,268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,395.50 : 22,617.69 = 10,343 : x
  2. Step 2: Convert to fraction form
    16,395.50/22,617.69 = 10,343/x
  3. Step 3: Cross multiply
    16,395.50x = 22,617.69 × 10,343
  4. Step 4: Simplify right side
    16,395.50x = 233,934,767.67
  5. Step 5: Solve for x
    x = 233,934,767.67/16,395.50
  6. Step 6: Final answer
    x = 14,268.23

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