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Finding the Fourth Proportional to 16,045.41, 22,143.33 and 8,971.83

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Solution

The fourth proportional to 16,045.41, 22,143.33 and 8,971.83 is: 12,381.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.41 : 22,143.33 = 8,971.83 : x
  2. Step 2: Convert to fraction form
    16,045.41/22,143.33 = 8,971.83/x
  3. Step 3: Cross multiply
    16,045.41x = 22,143.33 × 8,971.83
  4. Step 4: Simplify right side
    16,045.41x = 198,666,192.39
  5. Step 5: Solve for x
    x = 198,666,192.39/16,045.41
  6. Step 6: Final answer
    x = 12,381.50

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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.