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Finding the Fourth Proportional to 16,714.96, 23,066.64 and 9,161.13

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Solution

The fourth proportional to 16,714.96, 23,066.64 and 9,161.13 is: 12,642.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.96 : 23,066.64 = 9,161.13 : x
  2. Step 2: Convert to fraction form
    16,714.96/23,066.64 = 9,161.13/x
  3. Step 3: Cross multiply
    16,714.96x = 23,066.64 × 9,161.13
  4. Step 4: Simplify right side
    16,714.96x = 211,316,574.20
  5. Step 5: Solve for x
    x = 211,316,574.20/16,714.96
  6. Step 6: Final answer
    x = 12,642.36

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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.