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Finding the Fourth Proportional to 16,095.50, 24,141.20 and 6,228.03

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Solution

The fourth proportional to 16,095.50, 24,141.20 and 6,228.03 is: 9,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.50 : 24,141.20 = 6,228.03 : x
  2. Step 2: Convert to fraction form
    16,095.50/24,141.20 = 6,228.03/x
  3. Step 3: Cross multiply
    16,095.50x = 24,141.20 × 6,228.03
  4. Step 4: Simplify right side
    16,095.50x = 150,352,133.41
  5. Step 5: Solve for x
    x = 150,352,133.41/16,095.50
  6. Step 6: Final answer
    x = 9,341.25

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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.