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Finding the Fourth Proportional to 16,681.50, 25,022.26 and 7,911.64

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Solution

The fourth proportional to 16,681.50, 25,022.26 and 7,911.64 is: 11,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,681.50 : 25,022.26 = 7,911.64 : x
  2. Step 2: Convert to fraction form
    16,681.50/25,022.26 = 7,911.64/x
  3. Step 3: Cross multiply
    16,681.50x = 25,022.26 × 7,911.64
  4. Step 4: Simplify right side
    16,681.50x = 197,967,113.11
  5. Step 5: Solve for x
    x = 197,967,113.11/16,681.50
  6. Step 6: Final answer
    x = 11,867.46

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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.