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Finding the Fourth Proportional to 17,780.46, 24,539.07 and 10,706.46

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Solution

The fourth proportional to 17,780.46, 24,539.07 and 10,706.46 is: 14,776.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.46 : 24,539.07 = 10,706.46 : x
  2. Step 2: Convert to fraction form
    17,780.46/24,539.07 = 10,706.46/x
  3. Step 3: Cross multiply
    17,780.46x = 24,539.07 × 10,706.46
  4. Step 4: Simplify right side
    17,780.46x = 262,726,571.39
  5. Step 5: Solve for x
    x = 262,726,571.39/17,780.46
  6. Step 6: Final answer
    x = 14,776.14

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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.