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Finding the Fourth Proportional to 25,714.36, 35,473.98 and 17,767.72

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Solution

The fourth proportional to 25,714.36, 35,473.98 and 17,767.72 is: 24,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,714.36 : 35,473.98 = 17,767.72 : x
  2. Step 2: Convert to fraction form
    25,714.36/35,473.98 = 17,767.72/x
  3. Step 3: Cross multiply
    25,714.36x = 35,473.98 × 17,767.72
  4. Step 4: Simplify right side
    25,714.36x = 630,291,743.93
  5. Step 5: Solve for x
    x = 630,291,743.93/25,714.36
  6. Step 6: Final answer
    x = 24,511.27

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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.