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Finding the Fourth Proportional to 14,138.72, 19,514.98 and 8,173.86

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Solution

The fourth proportional to 14,138.72, 19,514.98 and 8,173.86 is: 11,281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.72 : 19,514.98 = 8,173.86 : x
  2. Step 2: Convert to fraction form
    14,138.72/19,514.98 = 8,173.86/x
  3. Step 3: Cross multiply
    14,138.72x = 19,514.98 × 8,173.86
  4. Step 4: Simplify right side
    14,138.72x = 159,512,714.42
  5. Step 5: Solve for x
    x = 159,512,714.42/14,138.72
  6. Step 6: Final answer
    x = 11,281.98

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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.