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Finding the Fourth Proportional to 16,385.94, 22,607.25 and 9,669.30

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Solution

The fourth proportional to 16,385.94, 22,607.25 and 9,669.30 is: 13,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,385.94 : 22,607.25 = 9,669.30 : x
  2. Step 2: Convert to fraction form
    16,385.94/22,607.25 = 9,669.30/x
  3. Step 3: Cross multiply
    16,385.94x = 22,607.25 × 9,669.30
  4. Step 4: Simplify right side
    16,385.94x = 218,596,282.43
  5. Step 5: Solve for x
    x = 218,596,282.43/16,385.94
  6. Step 6: Final answer
    x = 13,340.48

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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.