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Finding the Fourth Proportional to 16,714.09, 23,065.35 and 9,160.63

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Solution

The fourth proportional to 16,714.09, 23,065.35 and 9,160.63 is: 12,641.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.09 : 23,065.35 = 9,160.63 : x
  2. Step 2: Convert to fraction form
    16,714.09/23,065.35 = 9,160.63/x
  3. Step 3: Cross multiply
    16,714.09x = 23,065.35 × 9,160.63
  4. Step 4: Simplify right side
    16,714.09x = 211,293,137.17
  5. Step 5: Solve for x
    x = 211,293,137.17/16,714.09
  6. Step 6: Final answer
    x = 12,641.62

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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.