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Finding the Fourth Proportional to 16,714.71, 23,066.28 and 9,161.06

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Solution

The fourth proportional to 16,714.71, 23,066.28 and 9,161.06 is: 12,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.71 : 23,066.28 = 9,161.06 : x
  2. Step 2: Convert to fraction form
    16,714.71/23,066.28 = 9,161.06/x
  3. Step 3: Cross multiply
    16,714.71x = 23,066.28 × 9,161.06
  4. Step 4: Simplify right side
    16,714.71x = 211,311,459.73
  5. Step 5: Solve for x
    x = 211,311,459.73/16,714.71
  6. Step 6: Final answer
    x = 12,642.25

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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.