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Finding the Fourth Proportional to 16,497, 22,765.86 and 9,045

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Solution

The fourth proportional to 16,497, 22,765.86 and 9,045 is: 12,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497 : 22,765.86 = 9,045 : x
  2. Step 2: Convert to fraction form
    16,497/22,765.86 = 9,045/x
  3. Step 3: Cross multiply
    16,497x = 22,765.86 × 9,045
  4. Step 4: Simplify right side
    16,497x = 205,917,203.70
  5. Step 5: Solve for x
    x = 205,917,203.70/16,497
  6. Step 6: Final answer
    x = 12,482.10

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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.