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Finding the Fourth Proportional to 16,021.50, 24,029.37 and 7,254.30

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Solution

The fourth proportional to 16,021.50, 24,029.37 and 7,254.30 is: 10,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.50 : 24,029.37 = 7,254.30 : x
  2. Step 2: Convert to fraction form
    16,021.50/24,029.37 = 7,254.30/x
  3. Step 3: Cross multiply
    16,021.50x = 24,029.37 × 7,254.30
  4. Step 4: Simplify right side
    16,021.50x = 174,316,258.79
  5. Step 5: Solve for x
    x = 174,316,258.79/16,021.50
  6. Step 6: Final answer
    x = 10,880.15

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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.