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Finding the Fourth Proportional to 16,714.11, 23,065.74 and 9,161.16

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Solution

The fourth proportional to 16,714.11, 23,065.74 and 9,161.16 is: 12,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.11 : 23,065.74 = 9,161.16 : x
  2. Step 2: Convert to fraction form
    16,714.11/23,065.74 = 9,161.16/x
  3. Step 3: Cross multiply
    16,714.11x = 23,065.74 × 9,161.16
  4. Step 4: Simplify right side
    16,714.11x = 211,308,888.85
  5. Step 5: Solve for x
    x = 211,308,888.85/16,714.11
  6. Step 6: Final answer
    x = 12,642.55

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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.