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Finding the Fourth Proportional to 12,476.61, 18,714.66 and 4,157.23

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Solution

The fourth proportional to 12,476.61, 18,714.66 and 4,157.23 is: 6,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.61 : 18,714.66 = 4,157.23 : x
  2. Step 2: Convert to fraction form
    12,476.61/18,714.66 = 4,157.23/x
  3. Step 3: Cross multiply
    12,476.61x = 18,714.66 × 4,157.23
  4. Step 4: Simplify right side
    12,476.61x = 77,801,145.99
  5. Step 5: Solve for x
    x = 77,801,145.99/12,476.61
  6. Step 6: Final answer
    x = 6,235.76

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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.