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Finding the Fourth Proportional to 16,175, 22,323.66 and 10,589.24

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Solution

The fourth proportional to 16,175, 22,323.66 and 10,589.24 is: 14,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175 : 22,323.66 = 10,589.24 : x
  2. Step 2: Convert to fraction form
    16,175/22,323.66 = 10,589.24/x
  3. Step 3: Cross multiply
    16,175x = 22,323.66 × 10,589.24
  4. Step 4: Simplify right side
    16,175x = 236,390,593.42
  5. Step 5: Solve for x
    x = 236,390,593.42/16,175
  6. Step 6: Final answer
    x = 14,614.57

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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.