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Finding the Fourth Proportional to 16,907.74, 23,334.68 and 9,834.14

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Solution

The fourth proportional to 16,907.74, 23,334.68 and 9,834.14 is: 13,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,907.74 : 23,334.68 = 9,834.14 : x
  2. Step 2: Convert to fraction form
    16,907.74/23,334.68 = 9,834.14/x
  3. Step 3: Cross multiply
    16,907.74x = 23,334.68 × 9,834.14
  4. Step 4: Simplify right side
    16,907.74x = 229,476,592.90
  5. Step 5: Solve for x
    x = 229,476,592.90/16,907.74
  6. Step 6: Final answer
    x = 13,572.28

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1.5x scale

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.