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Finding the Fourth Proportional to 16,089, 22,202.82 and 10,500

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Solution

The fourth proportional to 16,089, 22,202.82 and 10,500 is: 14,490

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089 : 22,202.82 = 10,500 : x
  2. Step 2: Convert to fraction form
    16,089/22,202.82 = 10,500/x
  3. Step 3: Cross multiply
    16,089x = 22,202.82 × 10,500
  4. Step 4: Simplify right side
    16,089x = 233,129,610
  5. Step 5: Solve for x
    x = 233,129,610/16,089
  6. Step 6: Final answer
    x = 14,490

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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.