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Finding the Fourth Proportional to 18,706.34, 25,813.68 and 10,322.84

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Solution

The fourth proportional to 18,706.34, 25,813.68 and 10,322.84 is: 14,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,706.34 : 25,813.68 = 10,322.84 : x
  2. Step 2: Convert to fraction form
    18,706.34/25,813.68 = 10,322.84/x
  3. Step 3: Cross multiply
    18,706.34x = 25,813.68 × 10,322.84
  4. Step 4: Simplify right side
    18,706.34x = 266,470,488.45
  5. Step 5: Solve for x
    x = 266,470,488.45/18,706.34
  6. Step 6: Final answer
    x = 14,244.93

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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.