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Finding the Fourth Proportional to 16,239.17, 22,410.34 and 9,524.98

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Solution

The fourth proportional to 16,239.17, 22,410.34 and 9,524.98 is: 13,144.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.17 : 22,410.34 = 9,524.98 : x
  2. Step 2: Convert to fraction form
    16,239.17/22,410.34 = 9,524.98/x
  3. Step 3: Cross multiply
    16,239.17x = 22,410.34 × 9,524.98
  4. Step 4: Simplify right side
    16,239.17x = 213,457,992.67
  5. Step 5: Solve for x
    x = 213,457,992.67/16,239.17
  6. Step 6: Final answer
    x = 13,144.64

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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.