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Finding the Fourth Proportional to 16,047.80, 24,051.65 and 7,725.59

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Solution

The fourth proportional to 16,047.80, 24,051.65 and 7,725.59 is: 11,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.80 : 24,051.65 = 7,725.59 : x
  2. Step 2: Convert to fraction form
    16,047.80/24,051.65 = 7,725.59/x
  3. Step 3: Cross multiply
    16,047.80x = 24,051.65 × 7,725.59
  4. Step 4: Simplify right side
    16,047.80x = 185,813,148.10
  5. Step 5: Solve for x
    x = 185,813,148.10/16,047.80
  6. Step 6: Final answer
    x = 11,578.73

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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.