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Finding the Fourth Proportional to 17,762.84, 24,511.39 and 10,209.18

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Solution

The fourth proportional to 17,762.84, 24,511.39 and 10,209.18 is: 14,087.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.84 : 24,511.39 = 10,209.18 : x
  2. Step 2: Convert to fraction form
    17,762.84/24,511.39 = 10,209.18/x
  3. Step 3: Cross multiply
    17,762.84x = 24,511.39 × 10,209.18
  4. Step 4: Simplify right side
    17,762.84x = 250,241,192.56
  5. Step 5: Solve for x
    x = 250,241,192.56/17,762.84
  6. Step 6: Final answer
    x = 14,087.90

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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.