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Finding the Fourth Proportional to 16,029.36, 22,117.32 and 9,315

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Solution

The fourth proportional to 16,029.36, 22,117.32 and 9,315 is: 12,852.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.36 : 22,117.32 = 9,315 : x
  2. Step 2: Convert to fraction form
    16,029.36/22,117.32 = 9,315/x
  3. Step 3: Cross multiply
    16,029.36x = 22,117.32 × 9,315
  4. Step 4: Simplify right side
    16,029.36x = 206,022,835.80
  5. Step 5: Solve for x
    x = 206,022,835.80/16,029.36
  6. Step 6: Final answer
    x = 12,852.84

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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.