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Finding the Fourth Proportional to 16,174, 22,322.28 and 10,588.24

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Solution

The fourth proportional to 16,174, 22,322.28 and 10,588.24 is: 14,613.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174 : 22,322.28 = 10,588.24 : x
  2. Step 2: Convert to fraction form
    16,174/22,322.28 = 10,588.24/x
  3. Step 3: Cross multiply
    16,174x = 22,322.28 × 10,588.24
  4. Step 4: Simplify right side
    16,174x = 236,353,657.99
  5. Step 5: Solve for x
    x = 236,353,657.99/16,174
  6. Step 6: Final answer
    x = 14,613.19

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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.