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Finding the Fourth Proportional to 16,823.50, 25,216.11 and 10,235.16

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Solution

The fourth proportional to 16,823.50, 25,216.11 and 10,235.16 is: 15,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.50 : 25,216.11 = 10,235.16 : x
  2. Step 2: Convert to fraction form
    16,823.50/25,216.11 = 10,235.16/x
  3. Step 3: Cross multiply
    16,823.50x = 25,216.11 × 10,235.16
  4. Step 4: Simplify right side
    16,823.50x = 258,090,920.43
  5. Step 5: Solve for x
    x = 258,090,920.43/16,823.50
  6. Step 6: Final answer
    x = 15,341.10

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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.