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Finding the Fourth Proportional to 16,287.50, 24,389.90 and 13,648.07

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Solution

The fourth proportional to 16,287.50, 24,389.90 and 13,648.07 is: 20,437.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.50 : 24,389.90 = 13,648.07 : x
  2. Step 2: Convert to fraction form
    16,287.50/24,389.90 = 13,648.07/x
  3. Step 3: Cross multiply
    16,287.50x = 24,389.90 × 13,648.07
  4. Step 4: Simplify right side
    16,287.50x = 332,874,940.54
  5. Step 5: Solve for x
    x = 332,874,940.54/16,287.50
  6. Step 6: Final answer
    x = 20,437.45

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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.