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Finding the Fourth Proportional to 14,982.84, 20,674.44 and 9,014.22

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Solution

The fourth proportional to 14,982.84, 20,674.44 and 9,014.22 is: 12,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982.84 : 20,674.44 = 9,014.22 : x
  2. Step 2: Convert to fraction form
    14,982.84/20,674.44 = 9,014.22/x
  3. Step 3: Cross multiply
    14,982.84x = 20,674.44 × 9,014.22
  4. Step 4: Simplify right side
    14,982.84x = 186,363,950.54
  5. Step 5: Solve for x
    x = 186,363,950.54/14,982.84
  6. Step 6: Final answer
    x = 12,438.49

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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.