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Finding the Fourth Proportional to 16,455, 22,707.90 and 9,003

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Solution

The fourth proportional to 16,455, 22,707.90 and 9,003 is: 12,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455 : 22,707.90 = 9,003 : x
  2. Step 2: Convert to fraction form
    16,455/22,707.90 = 9,003/x
  3. Step 3: Cross multiply
    16,455x = 22,707.90 × 9,003
  4. Step 4: Simplify right side
    16,455x = 204,439,223.70
  5. Step 5: Solve for x
    x = 204,439,223.70/16,455
  6. Step 6: Final answer
    x = 12,424.14

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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.