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Finding the Fourth Proportional to 14,899.84, 20,562.14 and 8,185.90

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Solution

The fourth proportional to 14,899.84, 20,562.14 and 8,185.90 is: 11,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899.84 : 20,562.14 = 8,185.90 : x
  2. Step 2: Convert to fraction form
    14,899.84/20,562.14 = 8,185.90/x
  3. Step 3: Cross multiply
    14,899.84x = 20,562.14 × 8,185.90
  4. Step 4: Simplify right side
    14,899.84x = 168,319,478.09
  5. Step 5: Solve for x
    x = 168,319,478.09/14,899.84
  6. Step 6: Final answer
    x = 11,296.73

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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.