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Finding the Fourth Proportional to 16,381.83, 24,575.03 and 5,284.94

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Solution

The fourth proportional to 16,381.83, 24,575.03 and 5,284.94 is: 7,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,381.83 : 24,575.03 = 5,284.94 : x
  2. Step 2: Convert to fraction form
    16,381.83/24,575.03 = 5,284.94/x
  3. Step 3: Cross multiply
    16,381.83x = 24,575.03 × 5,284.94
  4. Step 4: Simplify right side
    16,381.83x = 129,877,409.75
  5. Step 5: Solve for x
    x = 129,877,409.75/16,381.83
  6. Step 6: Final answer
    x = 7,928.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.