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Finding the Fourth Proportional to 16,156.54, 24,245.93 and 6,295.87

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Solution

The fourth proportional to 16,156.54, 24,245.93 and 6,295.87 is: 9,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.54 : 24,245.93 = 6,295.87 : x
  2. Step 2: Convert to fraction form
    16,156.54/24,245.93 = 6,295.87/x
  3. Step 3: Cross multiply
    16,156.54x = 24,245.93 × 6,295.87
  4. Step 4: Simplify right side
    16,156.54x = 152,649,223.31
  5. Step 5: Solve for x
    x = 152,649,223.31/16,156.54
  6. Step 6: Final answer
    x = 9,448.14

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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.