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Finding the Fourth Proportional to 17,907.75, 24,713.19 and 10,830.06

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Solution

The fourth proportional to 17,907.75, 24,713.19 and 10,830.06 is: 14,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,907.75 : 24,713.19 = 10,830.06 : x
  2. Step 2: Convert to fraction form
    17,907.75/24,713.19 = 10,830.06/x
  3. Step 3: Cross multiply
    17,907.75x = 24,713.19 × 10,830.06
  4. Step 4: Simplify right side
    17,907.75x = 267,645,330.49
  5. Step 5: Solve for x
    x = 267,645,330.49/17,907.75
  6. Step 6: Final answer
    x = 14,945.78

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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.