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Finding the Fourth Proportional to 24,783.82, 34,201.71 and 14,714.27

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Solution

The fourth proportional to 24,783.82, 34,201.71 and 14,714.27 is: 20,305.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.82 : 34,201.71 = 14,714.27 : x
  2. Step 2: Convert to fraction form
    24,783.82/34,201.71 = 14,714.27/x
  3. Step 3: Cross multiply
    24,783.82x = 34,201.71 × 14,714.27
  4. Step 4: Simplify right side
    24,783.82x = 503,253,345.03
  5. Step 5: Solve for x
    x = 503,253,345.03/24,783.82
  6. Step 6: Final answer
    x = 20,305.72

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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.