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Finding the Fourth Proportional to 16,714.65, 23,066.28 and 9,641.10

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Solution

The fourth proportional to 16,714.65, 23,066.28 and 9,641.10 is: 13,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.65 : 23,066.28 = 9,641.10 : x
  2. Step 2: Convert to fraction form
    16,714.65/23,066.28 = 9,641.10/x
  3. Step 3: Cross multiply
    16,714.65x = 23,066.28 × 9,641.10
  4. Step 4: Simplify right side
    16,714.65x = 222,384,312.11
  5. Step 5: Solve for x
    x = 222,384,312.11/16,714.65
  6. Step 6: Final answer
    x = 13,304.75

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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.