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Finding the Fourth Proportional to 17,761.84, 24,510.01 and 10,208.19

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Solution

The fourth proportional to 17,761.84, 24,510.01 and 10,208.19 is: 14,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.84 : 24,510.01 = 10,208.19 : x
  2. Step 2: Convert to fraction form
    17,761.84/24,510.01 = 10,208.19/x
  3. Step 3: Cross multiply
    17,761.84x = 24,510.01 × 10,208.19
  4. Step 4: Simplify right side
    17,761.84x = 250,202,838.98
  5. Step 5: Solve for x
    x = 250,202,838.98/17,761.84
  6. Step 6: Final answer
    x = 14,086.54

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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.