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Finding the Fourth Proportional to 16,613, 22,925.96 and 9,161

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Solution

The fourth proportional to 16,613, 22,925.96 and 9,161 is: 12,642.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,613 : 22,925.96 = 9,161 : x
  2. Step 2: Convert to fraction form
    16,613/22,925.96 = 9,161/x
  3. Step 3: Cross multiply
    16,613x = 22,925.96 × 9,161
  4. Step 4: Simplify right side
    16,613x = 210,024,719.56
  5. Step 5: Solve for x
    x = 210,024,719.56/16,613
  6. Step 6: Final answer
    x = 12,642.19

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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.