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Finding the Fourth Proportional to 16,319.70, 22,520.82 and 9,514.98

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Solution

The fourth proportional to 16,319.70, 22,520.82 and 9,514.98 is: 13,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.70 : 22,520.82 = 9,514.98 : x
  2. Step 2: Convert to fraction form
    16,319.70/22,520.82 = 9,514.98/x
  3. Step 3: Cross multiply
    16,319.70x = 22,520.82 × 9,514.98
  4. Step 4: Simplify right side
    16,319.70x = 214,285,151.88
  5. Step 5: Solve for x
    x = 214,285,151.88/16,319.70
  6. Step 6: Final answer
    x = 13,130.46

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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.