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Finding the Fourth Proportional to 12,714.11, 17,546.51 and 7,050.63

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Solution

The fourth proportional to 12,714.11, 17,546.51 and 7,050.63 is: 9,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.11 : 17,546.51 = 7,050.63 : x
  2. Step 2: Convert to fraction form
    12,714.11/17,546.51 = 7,050.63/x
  3. Step 3: Cross multiply
    12,714.11x = 17,546.51 × 7,050.63
  4. Step 4: Simplify right side
    12,714.11x = 123,713,914.55
  5. Step 5: Solve for x
    x = 123,713,914.55/12,714.11
  6. Step 6: Final answer
    x = 9,730.45

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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.