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Finding the Fourth Proportional to 12,714.12, 19,041.09 and 6,458.63

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Solution

The fourth proportional to 12,714.12, 19,041.09 and 6,458.63 is: 9,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.12 : 19,041.09 = 6,458.63 : x
  2. Step 2: Convert to fraction form
    12,714.12/19,041.09 = 6,458.63/x
  3. Step 3: Cross multiply
    12,714.12x = 19,041.09 × 6,458.63
  4. Step 4: Simplify right side
    12,714.12x = 122,979,259.90
  5. Step 5: Solve for x
    x = 122,979,259.90/12,714.12
  6. Step 6: Final answer
    x = 9,672.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.