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Finding the Fourth Proportional to 16,051.03, 24,056.49 and 7,729.50

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Solution

The fourth proportional to 16,051.03, 24,056.49 and 7,729.50 is: 11,584.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.03 : 24,056.49 = 7,729.50 : x
  2. Step 2: Convert to fraction form
    16,051.03/24,056.49 = 7,729.50/x
  3. Step 3: Cross multiply
    16,051.03x = 24,056.49 × 7,729.50
  4. Step 4: Simplify right side
    16,051.03x = 185,944,639.46
  5. Step 5: Solve for x
    x = 185,944,639.46/16,051.03
  6. Step 6: Final answer
    x = 11,584.59

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Why These Related Problems?

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