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Finding the Fourth Proportional to 16,323.84, 22,526.82 and 8,871.84

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Solution

The fourth proportional to 16,323.84, 22,526.82 and 8,871.84 is: 12,243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.84 : 22,526.82 = 8,871.84 : x
  2. Step 2: Convert to fraction form
    16,323.84/22,526.82 = 8,871.84/x
  3. Step 3: Cross multiply
    16,323.84x = 22,526.82 × 8,871.84
  4. Step 4: Simplify right side
    16,323.84x = 199,854,342.75
  5. Step 5: Solve for x
    x = 199,854,342.75/16,323.84
  6. Step 6: Final answer
    x = 12,243.10

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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.