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Finding the Fourth Proportional to 16,102.50, 24,162.03 and 7,678.50

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Solution

The fourth proportional to 16,102.50, 24,162.03 and 7,678.50 is: 11,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.50 : 24,162.03 = 7,678.50 : x
  2. Step 2: Convert to fraction form
    16,102.50/24,162.03 = 7,678.50/x
  3. Step 3: Cross multiply
    16,102.50x = 24,162.03 × 7,678.50
  4. Step 4: Simplify right side
    16,102.50x = 185,528,147.36
  5. Step 5: Solve for x
    x = 185,528,147.36/16,102.50
  6. Step 6: Final answer
    x = 11,521.70

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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.