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Finding the Fourth Proportional to 16,291.72, 22,478.88 and 9,215.56

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Solution

The fourth proportional to 16,291.72, 22,478.88 and 9,215.56 is: 12,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,291.72 : 22,478.88 = 9,215.56 : x
  2. Step 2: Convert to fraction form
    16,291.72/22,478.88 = 9,215.56/x
  3. Step 3: Cross multiply
    16,291.72x = 22,478.88 × 9,215.56
  4. Step 4: Simplify right side
    16,291.72x = 207,155,467.37
  5. Step 5: Solve for x
    x = 207,155,467.37/16,291.72
  6. Step 6: Final answer
    x = 12,715.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.