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Finding the Fourth Proportional to 16,176, 22,323.42 and 9,887.16

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Solution

The fourth proportional to 16,176, 22,323.42 and 9,887.16 is: 13,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176 : 22,323.42 = 9,887.16 : x
  2. Step 2: Convert to fraction form
    16,176/22,323.42 = 9,887.16/x
  3. Step 3: Cross multiply
    16,176x = 22,323.42 × 9,887.16
  4. Step 4: Simplify right side
    16,176x = 220,715,225.29
  5. Step 5: Solve for x
    x = 220,715,225.29/16,176
  6. Step 6: Final answer
    x = 13,644.61

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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.